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The rapid neutron nucleosynthesis process involves an enormous amount of veryexotic neutron-rich nuclei, which represent a theoretical and experimentalchallenge. Two of the main decay properties that affect the final abundancedistribution the most are half-lives and neutron branching ratios. Usingfragmentation of a primary $^{238}$U beam at GSI we were able to measure suchproperties for several neutron-rich nuclei from $^{208}$Hg to $^{218}$Pb. Thiscontribution provides a short update on the status of the data analysis of thisexperiment, together with a compilation of the latest results published in thismass region, both experimental and theoretical. The impact of the uncertaintiesconnected with the beta-decay rates and with beta-delayed neutron emission isillustrated on the basis of $r$-process network calculations. In order toobtain a reasonable reproduction of the third $r$-process peak, it is expectedthat both half-lives and neutron branching ratios are substantially smaller,than those based on FRDM+QRPA, commonly used in $r$-process model calculations.Further measurements around $N\sim126$ are required for a reliable modelling ofthe underlying nuclear structure, and for performing more realistic $r$-processabundance calculations.

Approaching the precursor nuclei of the third r-process peak with RIBs