Finding the Third Proportional to 127.20 and 277.17

Step by Step Solution

1. Step 1: Write the proportion equation
   127.20 : 277.17 = 277.17 : x
2. Step 2: Convert to fraction form
   127.20/277.17 = 277.17/x
3. Step 3: Cross multiply
   127.20x = 277.17 × 277.17
4. Step 4: Simplify right side
   127.20x = 76,824.25
5. Step 5: Solve for x
   x = 76,824.25/127.20
6. Step 6: Final answer
   x = 603.99