Finding the Third Proportional to 190.69 and 410.81

Step by Step Solution

1. Step 1: Write the proportion equation
   190.69 : 410.81 = 410.81 : x
2. Step 2: Convert to fraction form
   190.69/410.81 = 410.81/x
3. Step 3: Cross multiply
   190.69x = 410.81 × 410.81
4. Step 4: Simplify right side
   190.69x = 168,766.91
5. Step 5: Solve for x
   x = 168,766.91/190.69
6. Step 6: Final answer
   x = 885.04