Finding the Third Proportional to 72,612 and 156,696

Step by Step Solution

1. Step 1: Write the proportion equation
   72,612 : 156,696 = 156,696 : x
2. Step 2: Convert to fraction form
   72,612/156,696 = 156,696/x
3. Step 3: Cross multiply
   72,612x = 156,696 × 156,696
4. Step 4: Simplify right side
   72,612x = 24,553,636,416
5. Step 5: Solve for x
   x = 24,553,636,416/72,612
6. Step 6: Final answer
   x = 338,148.47