Finding the Third Proportional to 127.88 and 254.91

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 254.91 = 254.91 : x
2. Step 2: Convert to fraction form
   127.88/254.91 = 254.91/x
3. Step 3: Cross multiply
   127.88x = 254.91 × 254.91
4. Step 4: Simplify right side
   127.88x = 64,977.20
5. Step 5: Solve for x
   x = 64,977.20/127.88
6. Step 6: Final answer
   x = 508.13