Solve by using sinking fund or amortization formula.

A manufactoring company has determined that it will need $600,000$ in $6$ years for a new roof on its southeastern regional warehouse. A sinking fund is established for the roof at $3\mathrm{.}6\%$ compounded semiannually. What equal payments $($in $$)$ are required every $6$ months to accumulate the needed funds for the roof? $($Round to nearest cent$)$