An auto dealer has designed a marketing gimmick. They are asking their customers to pay only $$99$ at the end of each month, for the first two years for a car priced at $$10,000.$ The APR on the vehicle is $7\mathrm{.}2\%$ and the total term of the loan is $5$ years. What is the monthly payment for the remaining three years.

Using financial calculator$/$formulas$.$ not excel.