Diego has a $5-$year$-$old daughter. He wants to pay for her college education in full so she won$$t have to face the burden of college loans. He believes he will need to have $$200,000$ saved by the time his daughter turns $18$ in order to accomplish this goal. He decides that the least painful course of action is to set aside a fixed amount from his monthly paycheck. Assuming Diego can earn interest at an annual rate of $5\mathrm{.}5\%,$ how much will he need to withhold from each paycheck?