Finding the Third Proportional to 111,566 and 156,048

Step by Step Solution

1. Step 1: Write the proportion equation
   111,566 : 156,048 = 156,048 : x
2. Step 2: Convert to fraction form
   111,566/156,048 = 156,048/x
3. Step 3: Cross multiply
   111,566x = 156,048 × 156,048
4. Step 4: Simplify right side
   111,566x = 24,350,978,304
5. Step 5: Solve for x
   x = 24,350,978,304/111,566
6. Step 6: Final answer
   x = 218,265.23