Finding the Third Proportional to 90,499 and 137,694

Step by Step Solution

1. Step 1: Write the proportion equation
   90,499 : 137,694 = 137,694 : x
2. Step 2: Convert to fraction form
   90,499/137,694 = 137,694/x
3. Step 3: Cross multiply
   90,499x = 137,694 × 137,694
4. Step 4: Simplify right side
   90,499x = 18,959,637,636
5. Step 5: Solve for x
   x = 18,959,637,636/90,499
6. Step 6: Final answer
   x = 209,501.07