Finding the Third Proportional to 411.94 and 499.69

Step by Step Solution

1. Step 1: Write the proportion equation
   411.94 : 499.69 = 499.69 : x
2. Step 2: Convert to fraction form
   411.94/499.69 = 499.69/x
3. Step 3: Cross multiply
   411.94x = 499.69 × 499.69
4. Step 4: Simplify right side
   411.94x = 249,687.60
5. Step 5: Solve for x
   x = 249,687.60/411.94
6. Step 6: Final answer
   x = 606.13