A firm needs to raise $$250$ million for a project. If external financing is used, the firm faces flotation costs of $15\%$ for equity and $4\%$ for debt. If the project is to be financed $70\%$ with equity and $30\%$ with debt, how much cash must the firm raise in order to finance the project?

A$)$ $$220\mathrm{.}8$ million

B$)$ $$223\mathrm{.}8$ million

$$250\mathrm{.}0$ million

D$)$ $$279\mathrm{.}3$ million

$$ $$283\mathrm{.}1$ million