Finding the Third Proportional to 106,151.50 and 165,687

Step by Step Solution

1. Step 1: Write the proportion equation
   106,151.50 : 165,687 = 165,687 : x
2. Step 2: Convert to fraction form
   106,151.50/165,687 = 165,687/x
3. Step 3: Cross multiply
   106,151.50x = 165,687 × 165,687
4. Step 4: Simplify right side
   106,151.50x = 27,452,181,969
5. Step 5: Solve for x
   x = 27,452,181,969/106,151.50
6. Step 6: Final answer
   x = 258,613.23