Finding the Third Proportional to 111.38 and 265.78

Step by Step Solution

1. Step 1: Write the proportion equation
   111.38 : 265.78 = 265.78 : x
2. Step 2: Convert to fraction form
   111.38/265.78 = 265.78/x
3. Step 3: Cross multiply
   111.38x = 265.78 × 265.78
4. Step 4: Simplify right side
   111.38x = 70,639.67
5. Step 5: Solve for x
   x = 70,639.67/111.38
6. Step 6: Final answer
   x = 634.25