Finding the Third Proportional to 127.69 and 313.88

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 313.88 = 313.88 : x
2. Step 2: Convert to fraction form
   127.69/313.88 = 313.88/x
3. Step 3: Cross multiply
   127.69x = 313.88 × 313.88
4. Step 4: Simplify right side
   127.69x = 98,517.52
5. Step 5: Solve for x
   x = 98,517.52/127.69
6. Step 6: Final answer
   x = 771.55