The analysis of a water sample produces the following results:
$\begin{array}{|c|c|c|} \hline \text{Ion} & \text{milligram per milli-equivalent} & \text{Concentration} \\ {} & \text{for the ion} & \text{mg/L} \\ \hline Ca^{2+} & 20.0 & 60 \\ \hline Mg^{2+} & 12.2 & 36.6 \\ \hline Na^+ & 23.0 & 92 \\ \hline K^+ & 39.1 & 78.2 \\ \hline Cl^- & 35.5 & 71 \\ \hline SO_4^{2-} & 48.0 & 72 \\ \hline HCO_3^- & 61.0 & 122 \\ \hline \end{array}$
The total hardness (in mg/L as $CaCO_3$) of the water sample is _______