Step 1: Understanding octahedral geometry.
In an octahedral geometry, there are six bonding regions around the central atom. This requires the central atom to have six hybridized orbitals, which is achieved by using the \( sp^3d^2 \) hybridization.
Step 2: Conclusion.
The central atom in an octahedral compound undergoes \( sp^3d^2 \) hybridization, which corresponds to option (C).