Finding the Third Proportional to 72,638 and 156,746

Step by Step Solution

1. Step 1: Write the proportion equation
   72,638 : 156,746 = 156,746 : x
2. Step 2: Convert to fraction form
   72,638/156,746 = 156,746/x
3. Step 3: Cross multiply
   72,638x = 156,746 × 156,746
4. Step 4: Simplify right side
   72,638x = 24,569,308,516
5. Step 5: Solve for x
   x = 24,569,308,516/72,638
6. Step 6: Final answer
   x = 338,243.19