Finding the Third Proportional to 127.50 and 239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 239.50 = 239.50 : x
2. Step 2: Convert to fraction form
   127.50/239.50 = 239.50/x
3. Step 3: Cross multiply
   127.50x = 239.50 × 239.50
4. Step 4: Simplify right side
   127.50x = 57,360.25
5. Step 5: Solve for x
   x = 57,360.25/127.50
6. Step 6: Final answer
   x = 449.88