Finding the Third Proportional to 488.25 and 709.31

Step by Step Solution

1. Step 1: Write the proportion equation
   488.25 : 709.31 = 709.31 : x
2. Step 2: Convert to fraction form
   488.25/709.31 = 709.31/x
3. Step 3: Cross multiply
   488.25x = 709.31 × 709.31
4. Step 4: Simplify right side
   488.25x = 503,124.22
5. Step 5: Solve for x
   x = 503,124.22/488.25
6. Step 6: Final answer
   x = 1,030.46