Finding the Third Proportional to 313.75 and 488.56

Step by Step Solution

1. Step 1: Write the proportion equation
   313.75 : 488.56 = 488.56 : x
2. Step 2: Convert to fraction form
   313.75/488.56 = 488.56/x
3. Step 3: Cross multiply
   313.75x = 488.56 × 488.56
4. Step 4: Simplify right side
   313.75x = 238,693.32
5. Step 5: Solve for x
   x = 238,693.32/313.75
6. Step 6: Final answer
   x = 760.78