Finding the Third Proportional to 81,470 and 123,025

Step by Step Solution

1. Step 1: Write the proportion equation
   81,470 : 123,025 = 123,025 : x
2. Step 2: Convert to fraction form
   81,470/123,025 = 123,025/x
3. Step 3: Cross multiply
   81,470x = 123,025 × 123,025
4. Step 4: Simplify right side
   81,470x = 15,135,150,625
5. Step 5: Solve for x
   x = 15,135,150,625/81,470
6. Step 6: Final answer
   x = 185,775.75