Finding the Third Proportional to 111,578 and 156,423

Step by Step Solution

1. Step 1: Write the proportion equation
   111,578 : 156,423 = 156,423 : x
2. Step 2: Convert to fraction form
   111,578/156,423 = 156,423/x
3. Step 3: Cross multiply
   111,578x = 156,423 × 156,423
4. Step 4: Simplify right side
   111,578x = 24,468,154,929
5. Step 5: Solve for x
   x = 24,468,154,929/111,578
6. Step 6: Final answer
   x = 219,291.93