(a) The amount of State aid to be allocated to counties, cities, towns or villages shall be determined by the commissioner as hereinafter provided. The commissioner shall determine the percentage proportion which the authorized expenditures of each individual county, city, town or village, but not exceeding $25,000 for each county, including the municipalities therein, shall bear to the total authorized expenditures of all the counties, cities, towns or villages for enforcement of article 25 of the Parks, Recreation and Historic Preservation Law during the fiscal year. Such percentage proportion shall then be applied against an amount equal to 25 percent of the amount received by the commissioner in fees received for registration of snowmobiles during such fiscal year, to the extent only and not exceeding the sum of $150,000.

(b) The amount thus determined shall constitute the maximum amount of State aid to which each county, city, town or village shall be entitled; provided, however, that no county, city, town or village shall receive State aid in an amount in excess of one half of its authorized expenditures as approved by the commissioner for such fiscal year ($12,500 maximum per county, including municipalities therein).