Finding the Third Proportional to 105.38 and 249.88

Step by Step Solution

1. Step 1: Write the proportion equation
   105.38 : 249.88 = 249.88 : x
2. Step 2: Convert to fraction form
   105.38/249.88 = 249.88/x
3. Step 3: Cross multiply
   105.38x = 249.88 × 249.88
4. Step 4: Simplify right side
   105.38x = 62,437.52
5. Step 5: Solve for x
   x = 62,437.52/105.38
6. Step 6: Final answer
   x = 592.53