Finding the Third Proportional to 109,514 and 156,495

Step by Step Solution

1. Step 1: Write the proportion equation
   109,514 : 156,495 = 156,495 : x
2. Step 2: Convert to fraction form
   109,514/156,495 = 156,495/x
3. Step 3: Cross multiply
   109,514x = 156,495 × 156,495
4. Step 4: Simplify right side
   109,514x = 24,490,685,025
5. Step 5: Solve for x
   x = 24,490,685,025/109,514
6. Step 6: Final answer
   x = 223,630.63