Finding the Third Proportional to 90,434 and 137,755

Step by Step Solution

1. Step 1: Write the proportion equation
   90,434 : 137,755 = 137,755 : x
2. Step 2: Convert to fraction form
   90,434/137,755 = 137,755/x
3. Step 3: Cross multiply
   90,434x = 137,755 × 137,755
4. Step 4: Simplify right side
   90,434x = 18,976,440,025
5. Step 5: Solve for x
   x = 18,976,440,025/90,434
6. Step 6: Final answer
   x = 209,837.45