Angular distributions of the differential cross section and vector analyzing power have been measured for the $^{206}\mathrm{Pb}$(d\ensuremath{\rightarrow}${,}^{3}$He${)}^{205}$Tl reaction at an incident deuteron energy of 79.4 MeV. Spin-parity assignments have been made for seventeen transitions to residual nuclear states up to 2.8 MeV in excitation. Optical-model parameters have been obtained for both the entrance and exit channels by fitting elastic scattering data measured to large angles. Exact finite-range distorted-wave Born-approximation calculations have been performed and spectroscopic strengths have been deduced for all the observed transitions. The proton occupation numbers in $^{206}\mathrm{Pb}$ for 3${s}_{1/2}$, 2${d}_{3/2}$, 2${d}_{5/2}$, and 1${h}_{11/2}$ orbitals indicate a general depletion of about 30%, to be compared to 18% depletion previously reported in $^{208}\mathrm{Pb}$. The 3${s}_{1/2}$ proton occupation number in $^{206}\mathrm{Pb}$ deduced from this experiment is in good agreement with the results of recent (e,e'p) experiments.