Fitting a log normal distribution with 3 points on the curve

[LonN90]

I am trying to fit a lognormal distribution with 3 points on the cumulative distribution function [start at 0,0; 60th percentile equal to 100 and 92nd percentile equal to 234]. I need to determine the parameters mu and sigma so that i can then simulate from this distribution but I can't seem to find any function in excel VBA that will allow me to do this. I don't have any sample mean or variance (only these 3 points on the graph). I know if it possible using other software but I need to be able to do this in Excel.

Does anyone know how this could be done? Any suggestions would be appreciated!

 

[JGordon11]

Book1.xlsx
	A	B	C	D	E	F
1	Probability	x		mean	std dev
2	1.00E-300	0.000000000113		4.41899	0.73757
3	0.6	100.068126883005
4	0.92	234.001758605499
5
Sheet3

Cell Formulas
Range	Formula
B2:B4	B2	=LOGNORM.INV(A2,$D$2,$E$2)

Named Ranges
Name	Refers To	Cells
solver_adj	=Sheet3!$D$2,Sheet3!$E$2	B2:B4