Any property held by a museum or historical society within the state, other than by terms of a loan agreement, that has been held for five years or more and has remained unclaimed shall be deemed to be abandoned. Such property shall become the property of the museum or historical society if the museum or society has given notice pursuant to RCW 63.26.040 and no assertion of title has been filed for the property within ninety days from the date of the second published notice.