  We report a result for the third-order correction in $1/N$ expansion to the
four-point correlator of the stress tensor multiplet in $\mathcal{N}=4$ super
Yang--Mills theory at large 't Hooft coupling, which corresponds to the
two-loop scattering of four gravitons in the dual
$\mathrm{AdS}_5\times\mathrm{S}^5$ supergravity. This is obtained by
bootstrapping an educated ansatz based on intuitions from the hidden
10-dimensional conformal symmetry.
