Finding the Third Proportional to 123,852.38 and 172,332.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123,852.38 : 172,332.56 = 172,332.56 : x
2. Step 2: Convert to fraction form
   123,852.38/172,332.56 = 172,332.56/x
3. Step 3: Cross multiply
   123,852.38x = 172,332.56 × 172,332.56
4. Step 4: Simplify right side
   123,852.38x = 29,698,512,097.82
5. Step 5: Solve for x
   x = 29,698,512,097.82/123,852.38
6. Step 6: Final answer
   x = 239,789.61