Finding the Third Proportional to 90,428 and 137,746

Step by Step Solution

1. Step 1: Write the proportion equation
   90,428 : 137,746 = 137,746 : x
2. Step 2: Convert to fraction form
   90,428/137,746 = 137,746/x
3. Step 3: Cross multiply
   90,428x = 137,746 × 137,746
4. Step 4: Simplify right side
   90,428x = 18,973,960,516
5. Step 5: Solve for x
   x = 18,973,960,516/90,428
6. Step 6: Final answer
   x = 209,823.95