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.
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.