Finding the Third Proportional to 109,404 and 156,438

Step by Step Solution

1. Step 1: Write the proportion equation
   109,404 : 156,438 = 156,438 : x
2. Step 2: Convert to fraction form
   109,404/156,438 = 156,438/x
3. Step 3: Cross multiply
   109,404x = 156,438 × 156,438
4. Step 4: Simplify right side
   109,404x = 24,472,847,844
5. Step 5: Solve for x
   x = 24,472,847,844/109,404
6. Step 6: Final answer
   x = 223,692.44