Finding the Third Proportional to 111.75 and 249.38

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 249.38 = 249.38 : x
2. Step 2: Convert to fraction form
   111.75/249.38 = 249.38/x
3. Step 3: Cross multiply
   111.75x = 249.38 × 249.38
4. Step 4: Simplify right side
   111.75x = 62,187.89
5. Step 5: Solve for x
   x = 62,187.89/111.75
6. Step 6: Final answer
   x = 556.49