Upon the filing of the schedule of apportionment, the county legislative authority shall fix the time and place for a hearing thereon, which time shall be not more than sixty days from the date of the filing of the schedule. Notice of the hearing shall be given in the manner provided for giving notice of a hearing in *RCW
85.08.150. The notice shall fix the time and place of the hearing on the roll, and shall state that the schedule of apportionment showing the amount of the cost of the improvement apportioned to each county, city, town, and piece of property benefited by the improvement is on file in the office of the county legislative authority and is open to public inspection, and shall notify all persons who may desire to object thereto that they may make their objections in writing and file them with the clerk of the county legislative authority at or before the date fixed for the hearing. The notice shall also state that at the time and place fixed and at such other times and places as the hearing may be continued to, the county legislative authority will sit as a board of equalization for the purpose of considering the schedule and at the hearing or hearings will also consider any objections made thereto, or any part thereof, and will correct, revise, raise, lower, change, or modify the schedule or any part thereof, or set aside the schedule and order that the apportionment be made de novo as to such body shall appear just and equitable, and that at the hearing the board will confirm the schedule as finally approved by them and will levy an assessment against the property described thereon for the amounts as fixed by them. The county legislative authority shall serve by mail, at least ten days before the hearing, upon the commissioner of public lands of the state of Washington a like notice, in duplicate, showing the amount of the cost of the improvements apportioned against all state, school, granted, or other lands owned by the state of Washington in the district. The county legislative authority shall serve a like notice upon the state secretary of transportation showing the amount apportioned against any state primary or secondary highways. Upon receipt of the notice the commissioner of public lands or the secretary of transportation, as the case may be, shall endorse thereon a statement either that he or she elects to accept or that he or she elects to contest the apportionment, and shall return the notice, so endorsed, to the county legislative authority. At or before the hearing any person interested may file with the clerk of the county legislative authority written objections to any item or items of the apportionment.