Finding the Third Proportional to 127.75 and 238.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127.75 : 238.25 = 238.25 : x
2. Step 2: Convert to fraction form
   127.75/238.25 = 238.25/x
3. Step 3: Cross multiply
   127.75x = 238.25 × 238.25
4. Step 4: Simplify right side
   127.75x = 56,763.06
5. Step 5: Solve for x
   x = 56,763.06/127.75
6. Step 6: Final answer
   x = 444.33