Finding the Third Proportional to 85,531.50 and 123,204.94

Step by Step Solution

1. Step 1: Write the proportion equation
   85,531.50 : 123,204.94 = 123,204.94 : x
2. Step 2: Convert to fraction form
   85,531.50/123,204.94 = 123,204.94/x
3. Step 3: Cross multiply
   85,531.50x = 123,204.94 × 123,204.94
4. Step 4: Simplify right side
   85,531.50x = 15,179,456,624.38
5. Step 5: Solve for x
   x = 15,179,456,624.38/85,531.50
6. Step 6: Final answer
   x = 177,472.12