ABC Realty is an affiliate of a national brokerage franchise company. The franchise requires ABC Realty to pay the national franchise company a $5\%$ fee from all commissions earned by ABC Realty. ABC Realty's in$-$house compensation policy is as follows: after the national franchise is paid, the remaining compensation is divided by giving $28\%$ to the listing salesperson, $24\%$ to the selling salesperson, and ABC Realty retains the remainder. One of ABC Realty's salespeople lists and sells a property at $6\mathrm{.}5\%$ commission on a sales price of $$195,500.$ What would ABC Realty's share of the commission be$?$

A$.$ $$6,084\mathrm{.}00$

B$.$ $$5,779\mathrm{.}80$

C$.$ $$6,277\mathrm{.}51$

D$.$ $$5,794\mathrm{.}62$