Finding the Third Proportional to 103.50 and 249.38

Step by Step Solution

1. Step 1: Write the proportion equation
   103.50 : 249.38 = 249.38 : x
2. Step 2: Convert to fraction form
   103.50/249.38 = 249.38/x
3. Step 3: Cross multiply
   103.50x = 249.38 × 249.38
4. Step 4: Simplify right side
   103.50x = 62,187.89
5. Step 5: Solve for x
   x = 62,187.89/103.50
6. Step 6: Final answer
   x = 600.85