Finding the Third Proportional to 109,578 and 156,591

Step by Step Solution

1. Step 1: Write the proportion equation
   109,578 : 156,591 = 156,591 : x
2. Step 2: Convert to fraction form
   109,578/156,591 = 156,591/x
3. Step 3: Cross multiply
   109,578x = 156,591 × 156,591
4. Step 4: Simplify right side
   109,578x = 24,520,741,281
5. Step 5: Solve for x
   x = 24,520,741,281/109,578
6. Step 6: Final answer
   x = 223,774.31