Finding the Third Proportional to 406.75 and 630.88

Step by Step Solution

1. Step 1: Write the proportion equation
   406.75 : 630.88 = 630.88 : x
2. Step 2: Convert to fraction form
   406.75/630.88 = 630.88/x
3. Step 3: Cross multiply
   406.75x = 630.88 × 630.88
4. Step 4: Simplify right side
   406.75x = 398,003.27
5. Step 5: Solve for x
   x = 398,003.27/406.75
6. Step 6: Final answer
   x = 978.50