Assuming cashflow of +20k each year for 11 years...

You can solve this by using Solver tool.

Set up your worksheet as following:

IN B2: =0.05

i.e. estimated Discount Rate

In E3:E13 = 20000 for each cell.

In B3: =NPV(B2,E3:E13)

Use Data -> Analyze -> Solver.

Set Objective: $B$3

To: Value of 165823

By Changing Variable Cells: $B$2

I used solving method of GRG Nonlinear.

Hit solve.

Depending on quality of your initial guess, you may want to refine solver solution, by entering value closer to solution provided.

Ex: By providing 0.05035 as initial guess, you get solution value that will be much closer to target value of 165,823 NPV.