Finding the Third Proportional to 127,123.50 and 172,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,123.50 : 172,649.50 = 172,649.50 : x
2. Step 2: Convert to fraction form
   127,123.50/172,649.50 = 172,649.50/x
3. Step 3: Cross multiply
   127,123.50x = 172,649.50 × 172,649.50
4. Step 4: Simplify right side
   127,123.50x = 29,807,849,850.25
5. Step 5: Solve for x
   x = 29,807,849,850.25/127,123.50
6. Step 6: Final answer
   x = 234,479.46