Finding the Third Proportional to 127.55 and 276.46

Step by Step Solution

1. Step 1: Write the proportion equation
   127.55 : 276.46 = 276.46 : x
2. Step 2: Convert to fraction form
   127.55/276.46 = 276.46/x
3. Step 3: Cross multiply
   127.55x = 276.46 × 276.46
4. Step 4: Simplify right side
   127.55x = 76,430.11
5. Step 5: Solve for x
   x = 76,430.11/127.55
6. Step 6: Final answer
   x = 599.21