An aqueous solution of \(CrCl_3 \cdot 6H_2O\) having molar mass \(266.5 \, g \, mol^{-1}\), containing \(2.665 \, g\) of the solute after processing, when treated with excess of \(AgNO_3\), gives \(2.87 \, g\) of \(AgCl\). Given molar mass of \(AgCl = 143.5 \, g \, mol^{-1}\). Choose the correct formula of the compound which gives these results.