Finding the Third Proportional to 105,668 and 156,756

Step by Step Solution

1. Step 1: Write the proportion equation
   105,668 : 156,756 = 156,756 : x
2. Step 2: Convert to fraction form
   105,668/156,756 = 156,756/x
3. Step 3: Cross multiply
   105,668x = 156,756 × 156,756
4. Step 4: Simplify right side
   105,668x = 24,572,443,536
5. Step 5: Solve for x
   x = 24,572,443,536/105,668
6. Step 6: Final answer
   x = 232,543.85