Finding the Third Proportional to 144.50 and 267.25

Step by Step Solution

1. Step 1: Write the proportion equation
   144.50 : 267.25 = 267.25 : x
2. Step 2: Convert to fraction form
   144.50/267.25 = 267.25/x
3. Step 3: Cross multiply
   144.50x = 267.25 × 267.25
4. Step 4: Simplify right side
   144.50x = 71,422.56
5. Step 5: Solve for x
   x = 71,422.56/144.50
6. Step 6: Final answer
   x = 494.27