The present value $($t $=0)$ of the following cash flow stream is $$1,262\mathrm{.}23$ when discounted at $12$ percent annually. What is the value of the missing cash flows $($x$)?$ Assume the alternating payment of $$100$ and $x continues in perpetuity.

t$=0$ t$=1$ t$=2$ t$=3$ t$=4$ t$=5$ t$=6$ t$=7$

$||||||||>\backslash$infty

The answer is $209\mathrm{.}11$$$.$ Please show all your steps and formulas to get to that answer, thanks!!:$))$ A$.$ $$39\mathrm{.}47$ B$.$ $$190\mathrm{.}94$ C$.$ $$195\mathrm{.}67$ D$.$ $$209\mathrm{.}11$ E$.$ $$221\mathrm{.}11$