Finding the Third Proportional to 488.81 and 702.56

Step by Step Solution

1. Step 1: Write the proportion equation
   488.81 : 702.56 = 702.56 : x
2. Step 2: Convert to fraction form
   488.81/702.56 = 702.56/x
3. Step 3: Cross multiply
   488.81x = 702.56 × 702.56
4. Step 4: Simplify right side
   488.81x = 493,594.07
5. Step 5: Solve for x
   x = 493,594.07/488.81
6. Step 6: Final answer
   x = 1,009.78