Finding the Third Proportional to 127.22 and 276.78

Step by Step Solution

1. Step 1: Write the proportion equation
   127.22 : 276.78 = 276.78 : x
2. Step 2: Convert to fraction form
   127.22/276.78 = 276.78/x
3. Step 3: Cross multiply
   127.22x = 276.78 × 276.78
4. Step 4: Simplify right side
   127.22x = 76,607.86
5. Step 5: Solve for x
   x = 76,607.86/127.22
6. Step 6: Final answer
   x = 602.17