Finding the Third Proportional to 111,566 and 156,405

Step by Step Solution

1. Step 1: Write the proportion equation
   111,566 : 156,405 = 156,405 : x
2. Step 2: Convert to fraction form
   111,566/156,405 = 156,405/x
3. Step 3: Cross multiply
   111,566x = 156,405 × 156,405
4. Step 4: Simplify right side
   111,566x = 24,462,524,025
5. Step 5: Solve for x
   x = 24,462,524,025/111,566
6. Step 6: Final answer
   x = 219,265.05