Finding the Third Proportional to 111,569 and 156,051

Step by Step Solution

1. Step 1: Write the proportion equation
   111,569 : 156,051 = 156,051 : x
2. Step 2: Convert to fraction form
   111,569/156,051 = 156,051/x
3. Step 3: Cross multiply
   111,569x = 156,051 × 156,051
4. Step 4: Simplify right side
   111,569x = 24,351,914,601
5. Step 5: Solve for x
   x = 24,351,914,601/111,569
6. Step 6: Final answer
   x = 218,267.75