Finding the Third Proportional to 599.75 and 809.38

Step by Step Solution

1. Step 1: Write the proportion equation
   599.75 : 809.38 = 809.38 : x
2. Step 2: Convert to fraction form
   599.75/809.38 = 809.38/x
3. Step 3: Cross multiply
   599.75x = 809.38 × 809.38
4. Step 4: Simplify right side
   599.75x = 655,087.89
5. Step 5: Solve for x
   x = 655,087.89/599.75
6. Step 6: Final answer
   x = 1,092.27