Finding the Third Proportional to 111,208.50 and 172,326.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111,208.50 : 172,326.38 = 172,326.38 : x
2. Step 2: Convert to fraction form
   111,208.50/172,326.38 = 172,326.38/x
3. Step 3: Cross multiply
   111,208.50x = 172,326.38 × 172,326.38
4. Step 4: Simplify right side
   111,208.50x = 29,696,379,520.64
5. Step 5: Solve for x
   x = 29,696,379,520.64/111,208.50
6. Step 6: Final answer
   x = 267,033.36