You have just sold your house for $$900,000$ in cash. Your mortgage was originally a $30-$year mortgage with monthly payments and an initial balance of $$700,000.$ The mortgage is currently exactly $18\frac{1}{2}$ years old, and you have just made a payment. If the interest rate on the mortgage is $5\mathrm{.}25\%($APR$),$ how much cash will you have from the sale once you pay off the mortgage? $($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

Cash that remains after payoff of mortgage is $$,($Round to the nearest dollar.$)$