Finding the Third Proportional to 103,404.38 and 165,904.31

Step by Step Solution

1. Step 1: Write the proportion equation
   103,404.38 : 165,904.31 = 165,904.31 : x
2. Step 2: Convert to fraction form
   103,404.38/165,904.31 = 165,904.31/x
3. Step 3: Cross multiply
   103,404.38x = 165,904.31 × 165,904.31
4. Step 4: Simplify right side
   103,404.38x = 27,524,240,906.10
5. Step 5: Solve for x
   x = 27,524,240,906.10/103,404.38
6. Step 6: Final answer
   x = 266,180.62