Finding the Third Proportional to 493.50 and 809.25

Step by Step Solution

1. Step 1: Write the proportion equation
   493.50 : 809.25 = 809.25 : x
2. Step 2: Convert to fraction form
   493.50/809.25 = 809.25/x
3. Step 3: Cross multiply
   493.50x = 809.25 × 809.25
4. Step 4: Simplify right side
   493.50x = 654,885.56
5. Step 5: Solve for x
   x = 654,885.56/493.50
6. Step 6: Final answer
   x = 1,327.02