Finding the Third Proportional to 72,633 and 156,741

Step by Step Solution

1. Step 1: Write the proportion equation
   72,633 : 156,741 = 156,741 : x
2. Step 2: Convert to fraction form
   72,633/156,741 = 156,741/x
3. Step 3: Cross multiply
   72,633x = 156,741 × 156,741
4. Step 4: Simplify right side
   72,633x = 24,567,741,081
5. Step 5: Solve for x
   x = 24,567,741,081/72,633
6. Step 6: Final answer
   x = 338,244.89