Hao made a single investment which, after $4$ years invested at $12\%$ compounded semiannually, has accumulated to $$226,900.$ How much did Hao invest initially? $($PV of $$1,$ FV of $$1,$ PVA of $$1,$ and FVA of $$1)($Use appropriate factor$($s$)$ from the tables provided.$)$ $$18,795$

$$142,357$

$$162,854$

$$222,195$

$$226,898$