Given details are,
Annual growth rate of population of city is = 8%
Present population of city is = 196830
Let population of city 3 years ago be = x
By using the formula,
A = P (1 + R/100)
196830 = x (1 + 8/100) (1 + 8/100) (1 + 8/100)
196830 = x (27/25) (27/25) (27/25)
196830 = x (1.08) (1.08) (1.08)
196830 = 1.259712x
x = 196830/1.259712
= 156250
∴ Population 3 years ago was 156250.