Finding the Third Proportional to 109,540 and 156,534

Step by Step Solution

1. Step 1: Write the proportion equation
   109,540 : 156,534 = 156,534 : x
2. Step 2: Convert to fraction form
   109,540/156,534 = 156,534/x
3. Step 3: Cross multiply
   109,540x = 156,534 × 156,534
4. Step 4: Simplify right side
   109,540x = 24,502,893,156
5. Step 5: Solve for x
   x = 24,502,893,156/109,540
6. Step 6: Final answer
   x = 223,689.00