For the water analysis given below $($as CaCO$3),$ calculate the additions of CaO, Na$2$CO$3$ for excess$-$lime softening.

Calcium hardness $=185$ mg$/$L

Magnesium hardness $=50$ mg$/$L

Sodium ion $=23$ mg$/$L

Potassium ion $=20$ mg$/$L

Alkalinity $=200$ mg$/$L

Sulfate ion $=58$ mg$/$L

Chloride ion $=36$ mg$/$L

pH $=7\mathrm{.}7$