Finding the Third Proportional to 734.50 and 809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   734.50 : 809.50 = 809.50 : x
2. Step 2: Convert to fraction form
   734.50/809.50 = 809.50/x
3. Step 3: Cross multiply
   734.50x = 809.50 × 809.50
4. Step 4: Simplify right side
   734.50x = 655,290.25
5. Step 5: Solve for x
   x = 655,290.25/734.50
6. Step 6: Final answer
   x = 892.16