Finding the Third Proportional to 127.50 and 249.56

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 249.56 = 249.56 : x
2. Step 2: Convert to fraction form
   127.50/249.56 = 249.56/x
3. Step 3: Cross multiply
   127.50x = 249.56 × 249.56
4. Step 4: Simplify right side
   127.50x = 62,281.44
5. Step 5: Solve for x
   x = 62,281.44/127.50
6. Step 6: Final answer
   x = 488.48