Finding the Third Proportional to 109,376 and 156,406

Step by Step Solution

1. Step 1: Write the proportion equation
   109,376 : 156,406 = 156,406 : x
2. Step 2: Convert to fraction form
   109,376/156,406 = 156,406/x
3. Step 3: Cross multiply
   109,376x = 156,406 × 156,406
4. Step 4: Simplify right side
   109,376x = 24,462,836,836
5. Step 5: Solve for x
   x = 24,462,836,836/109,376
6. Step 6: Final answer
   x = 223,658.18