Finding the Third Proportional to 110.38 and 255.69

Step by Step Solution

1. Step 1: Write the proportion equation
   110.38 : 255.69 = 255.69 : x
2. Step 2: Convert to fraction form
   110.38/255.69 = 255.69/x
3. Step 3: Cross multiply
   110.38x = 255.69 × 255.69
4. Step 4: Simplify right side
   110.38x = 65,376.10
5. Step 5: Solve for x
   x = 65,376.10/110.38
6. Step 6: Final answer
   x = 592.31