Finding the Third Proportional to 127.25 and 276.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127.25 : 276.25 = 276.25 : x
2. Step 2: Convert to fraction form
   127.25/276.25 = 276.25/x
3. Step 3: Cross multiply
   127.25x = 276.25 × 276.25
4. Step 4: Simplify right side
   127.25x = 76,314.06
5. Step 5: Solve for x
   x = 76,314.06/127.25
6. Step 6: Final answer
   x = 599.72