Finding the Third Proportional to 81,294.75 and 123,510.38

Step by Step Solution

1. Step 1: Write the proportion equation
   81,294.75 : 123,510.38 = 123,510.38 : x
2. Step 2: Convert to fraction form
   81,294.75/123,510.38 = 123,510.38/x
3. Step 3: Cross multiply
   81,294.75x = 123,510.38 × 123,510.38
4. Step 4: Simplify right side
   81,294.75x = 15,254,812,732.64
5. Step 5: Solve for x
   x = 15,254,812,732.64/81,294.75
6. Step 6: Final answer
   x = 187,648.19