Finding the Third Proportional to 488.50 and 687.25

Step by Step Solution

1. Step 1: Write the proportion equation
   488.50 : 687.25 = 687.25 : x
2. Step 2: Convert to fraction form
   488.50/687.25 = 687.25/x
3. Step 3: Cross multiply
   488.50x = 687.25 × 687.25
4. Step 4: Simplify right side
   488.50x = 472,312.56
5. Step 5: Solve for x
   x = 472,312.56/488.50
6. Step 6: Final answer
   x = 966.86