The state treasurer shall no less than quarterly allocate and distribute all moneys in the township highway aid fund to the counties of the state based on the length of township roads in each county compared to the length of all township roads in the state. To receive any funds under this section, organized townships must provide fifty percent matching funds. The county treasurer shall allocate the funds received to the organized townships in the county which provide fifty percent matching funds based on the length of township roads in each of those organized townships compared to the length of all township roads in the county. The funds received must be deposited in the township road and bridge fund and used for highway and bridge purposes. If a county does not have organized townships, or has some organized and some unorganized townships, the county shall retain a pro rata portion of the funds received based on the length of roads in unorganized townships compared to the length of township    roads in organized townships in the county. Moneys retained by a county for the benefit of unorganized townships under this section must be deposited in the county road and bridge fund. Moneys retained by the county treasurer due to the failure of organized townships to provide required matching funds must be returned to the state treasurer who shall deposit the funds in the highway tax distribution fund. The board of county commissioners shall certify to the state treasurer any change in township road mileage when a change occurs and shall, by July first of each even-numbered year, certify the total number of township road mileage in each of the county’s organized and unorganized townships. The state treasurer shall prescribe the form and manner by which the certification is made.