Finding the Third Proportional to 109,494 and 156,564

Step by Step Solution

1. Step 1: Write the proportion equation
   109,494 : 156,564 = 156,564 : x
2. Step 2: Convert to fraction form
   109,494/156,564 = 156,564/x
3. Step 3: Cross multiply
   109,494x = 156,564 × 156,564
4. Step 4: Simplify right side
   109,494x = 24,512,286,096
5. Step 5: Solve for x
   x = 24,512,286,096/109,494
6. Step 6: Final answer
   x = 223,868.76