Finding the Third Proportional to 796.50 and 1,208.25

Step by Step Solution

1. Step 1: Write the proportion equation
   796.50 : 1,208.25 = 1,208.25 : x
2. Step 2: Convert to fraction form
   796.50/1,208.25 = 1,208.25/x
3. Step 3: Cross multiply
   796.50x = 1,208.25 × 1,208.25
4. Step 4: Simplify right side
   796.50x = 1,459,868.06
5. Step 5: Solve for x
   x = 1,459,868.06/796.50
6. Step 6: Final answer
   x = 1,832.85