Answer
1 link = 20.2 cm
Work Step by Step
100 links = 1 chain
1 link = 0.01 chain
1 furlong = 10 chains
10 chains = 1 furlong
1 chain = 0.1 furlong
0.01 chain = 0.001 furlong
So 1 link = 0.001 furlong
8 furlongs = 1 mi
1 furlong = 0.125 mi
0.001 furlong = $1.25 * 10^{-4}$ mi
So 1 link = $1.25 * 10^{-4}$ mi
0.62 mi = 1 km
0.62 mi = $10^{5}$ cm
1 mi = $10^{5}$ / 0.62 cm = 161290.3226 cm
$1.25 * 10^{-4}$ mi = $1.25 * 10^{-4}$ * 161290.3226 cm
= 20.16129033 cm
So 1 link = 20.16129033 cm
Rounding to 3 significant figures gives 20.2 cm