Finding the Third Proportional to 488.25 and 635.63

Step by Step Solution

1. Step 1: Write the proportion equation
   488.25 : 635.63 = 635.63 : x
2. Step 2: Convert to fraction form
   488.25/635.63 = 635.63/x
3. Step 3: Cross multiply
   488.25x = 635.63 × 635.63
4. Step 4: Simplify right side
   488.25x = 404,019.14
5. Step 5: Solve for x
   x = 404,019.14/488.25
6. Step 6: Final answer
   x = 827.48