Finding the Third Proportional to 72,742 and 156,950

Step by Step Solution

1. Step 1: Write the proportion equation
   72,742 : 156,950 = 156,950 : x
2. Step 2: Convert to fraction form
   72,742/156,950 = 156,950/x
3. Step 3: Cross multiply
   72,742x = 156,950 × 156,950
4. Step 4: Simplify right side
   72,742x = 24,633,302,500
5. Step 5: Solve for x
   x = 24,633,302,500/72,742
6. Step 6: Final answer
   x = 338,639.33