Finding the Third Proportional to 406.69 and 630.56

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 630.56 = 630.56 : x
2. Step 2: Convert to fraction form
   406.69/630.56 = 630.56/x
3. Step 3: Cross multiply
   406.69x = 630.56 × 630.56
4. Step 4: Simplify right side
   406.69x = 397,609.07
5. Step 5: Solve for x
   x = 397,609.07/406.69
6. Step 6: Final answer
   x = 977.68