Finding the Third Proportional to 127.61 and 276.04

Step by Step Solution

1. Step 1: Write the proportion equation
   127.61 : 276.04 = 276.04 : x
2. Step 2: Convert to fraction form
   127.61/276.04 = 276.04/x
3. Step 3: Cross multiply
   127.61x = 276.04 × 276.04
4. Step 4: Simplify right side
   127.61x = 76,200.66
5. Step 5: Solve for x
   x = 76,200.66/127.61
6. Step 6: Final answer
   x = 597.13