§ 229. County educational institutions. The board of supervisors of a county, having a population of over five hundred thousand and adjacent to a city having a population of over two million, may determine, by resolution, to make application to the regents for the incorporation, pursuant to the provisions of part one of this article of one or more of the institutions enumerated in section two hundred sixteen of this chapter. The regents may, by an instrument under their seal and recorded in their office, incorporate any such institution or institutions under such name with such number of trustees or other managers, and with such powers, privileges and duties, and subject to such limitations and restrictions in all respects as the regents may prescribe in conformity to law. The cost and expenses necessary to establish, maintain and support such institution or institutions pursuant to the provisions of part one of this article, including the acquisition of real property, and the construction and equipment of buildings and grounds, shall be a county charge and the board of supervisors shall provide for the payment of such cost and expenses by the levy, assessment and collection of taxes in the same manner that taxes are levied, assessed and collected for other county purposes. The provisions of part one of this article shall apply to such institution or institutions, except the provision of section two hundred eighteen of this chapter, requiring resources of at least five hundred thousand dollars.