Finding the Third Proportional to 199.69 and 416.81

Step by Step Solution

1. Step 1: Write the proportion equation
   199.69 : 416.81 = 416.81 : x
2. Step 2: Convert to fraction form
   199.69/416.81 = 416.81/x
3. Step 3: Cross multiply
   199.69x = 416.81 × 416.81
4. Step 4: Simplify right side
   199.69x = 173,732.66
5. Step 5: Solve for x
   x = 173,732.66/199.69
6. Step 6: Final answer
   x = 870.02