Finding the Third Proportional to 127.25 and 267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127.25 : 267.25 = 267.25 : x
2. Step 2: Convert to fraction form
   127.25/267.25 = 267.25/x
3. Step 3: Cross multiply
   127.25x = 267.25 × 267.25
4. Step 4: Simplify right side
   127.25x = 71,422.56
5. Step 5: Solve for x
   x = 71,422.56/127.25
6. Step 6: Final answer
   x = 561.28