Finding the Third Proportional to 410.38 and 809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   410.38 : 809.25 = 809.25 : x
2. Step 2: Convert to fraction form
   410.38/809.25 = 809.25/x
3. Step 3: Cross multiply
   410.38x = 809.25 × 809.25
4. Step 4: Simplify right side
   410.38x = 654,885.56
5. Step 5: Solve for x
   x = 654,885.56/410.38
6. Step 6: Final answer
   x = 1,595.82