Finding the Third Proportional to 127.78 and 276.56

Step by Step Solution

1. Step 1: Write the proportion equation
   127.78 : 276.56 = 276.56 : x
2. Step 2: Convert to fraction form
   127.78/276.56 = 276.56/x
3. Step 3: Cross multiply
   127.78x = 276.56 × 276.56
4. Step 4: Simplify right side
   127.78x = 76,486.82
5. Step 5: Solve for x
   x = 76,486.82/127.78
6. Step 6: Final answer
   x = 598.58