Finding the Third Proportional to 406.69 and 610.88

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 610.88 = 610.88 : x
2. Step 2: Convert to fraction form
   406.69/610.88 = 610.88/x
3. Step 3: Cross multiply
   406.69x = 610.88 × 610.88
4. Step 4: Simplify right side
   406.69x = 373,168.27
5. Step 5: Solve for x
   x = 373,168.27/406.69
6. Step 6: Final answer
   x = 917.58