Finding the Third Proportional to 314.16 and 488.53

Step by Step Solution

1. Step 1: Write the proportion equation
   314.16 : 488.53 = 488.53 : x
2. Step 2: Convert to fraction form
   314.16/488.53 = 488.53/x
3. Step 3: Cross multiply
   314.16x = 488.53 × 488.53
4. Step 4: Simplify right side
   314.16x = 238,662.78
5. Step 5: Solve for x
   x = 238,662.78/314.16
6. Step 6: Final answer
   x = 759.69