Finding the Third Proportional to 127.38 and 313.94

Step by Step Solution

1. Step 1: Write the proportion equation
   127.38 : 313.94 = 313.94 : x
2. Step 2: Convert to fraction form
   127.38/313.94 = 313.94/x
3. Step 3: Cross multiply
   127.38x = 313.94 × 313.94
4. Step 4: Simplify right side
   127.38x = 98,556.75
5. Step 5: Solve for x
   x = 98,556.75/127.38
6. Step 6: Final answer
   x = 773.75