§ 251. Payment of expense of acquisition. One-half of the expense incurred in the condemnation and acquirement of said toll bridge shall be paid by the department of taxation and finance upon the warrant of the comptroller out of any specific appropriations made to carry on the provisions of this article, but no such payment shall be made until the county or counties in which said toll bridge is situate shall have complied with all the provisions hereof. One-half of the expenses thereof shall be a charge, in the first instance, upon the county or counties in which said toll bridge is situate, and the same shall be paid by the county treasurer upon the requisition of the comptroller, but the amount so paid shall be apportioned by the board of supervisors so that thirty-five per centum of such cost shall be a general county charge and fifteen per centum shall be a charge upon the town or towns or city or cities in which said toll bridge is wholly or partly located. In case a toll bridge is located in two counties the fifty per centum of the expense to be borne by the counties shall be apportioned between them on the basis of their assessed valuation and the fifteen per centum shall be apportioned by the board of supervisors upon the town or towns or city or cities in the same manner. The board of supervisors of a county, the town board of a town or the common council of a city may determine that the portion of the expense chargeable to such county, town, or city, as the case may be, shall be raised by taxation and levied and collected as other municipal taxes, or the money therefor may be raised, in whole or in part, pursuant to the local finance law.