Finding the Third Proportional to 255.38 and 538.88

Step by Step Solution

1. Step 1: Write the proportion equation
   255.38 : 538.88 = 538.88 : x
2. Step 2: Convert to fraction form
   255.38/538.88 = 538.88/x
3. Step 3: Cross multiply
   255.38x = 538.88 × 538.88
4. Step 4: Simplify right side
   255.38x = 290,386.27
5. Step 5: Solve for x
   x = 290,386.27/255.38
6. Step 6: Final answer
   x = 1,137.10