Given,
Annual growth rate of population of city = 8%
Present population of city = 196830
Let population of city 3 years ago was = X
So,
\(=x({1}+\frac{8}{100})({1}+\frac{8}{100})({1}+\frac{8}{100})\) = 196830
\(x\times\frac{27}{25}\times\frac{27}{25}\times\frac{27}{25}\) = 196830
\(= x =\frac{196830 \times 25 \times 25 \times 25}{27 \times 27 \times27}\) = 156250
Hence,
Population of city 3 years ago was = 156250.