Finding the Third Proportional to 174,789.14 and 269,910.83

Step by Step Solution

1. Step 1: Write the proportion equation
   174,789.14 : 269,910.83 = 269,910.83 : x
2. Step 2: Convert to fraction form
   174,789.14/269,910.83 = 269,910.83/x
3. Step 3: Cross multiply
   174,789.14x = 269,910.83 × 269,910.83
4. Step 4: Simplify right side
   174,789.14x = 72,851,854,084.79
5. Step 5: Solve for x
   x = 72,851,854,084.79/174,789.14
6. Step 6: Final answer
   x = 416,798.51