Your reaction needs "203 g" of carbon tetrachloride.
Start with the balanced chemical equation
CH_(4(g)) + "CCl"_(4(l)) -> 2CH_2Cl_(2(g))
Notice that you have a "1:1" mole ratio between methane and carbon tetrachloride, which means that, for every 1 mole of the former, you'll need exactly 1 mole of the latter.
You can determine how many moles of methane you have by using its molar mass
"21.2 g CH"_4 * "1 mole"/"16.04 g" = "1.322 moles CH"_4
This means that the number of moles of carbon tetrachloride needed is
"1.322 moles CH"_4 * "1 mole CCl"_4/"1 mole CH"_4 = "1.322 moles CCl"_4
Now use carbon tetrachloride's molar mass to calculate how many grams are needed
"1.322 moles CCl"_4 * "153.82 g"/"1 mole" = "203.35 g" "CCl"_4
Rounded to three sig figs, the answer will be
m_("CCl"_4) = "203 g"