Finding the Third Proportional to 797.17 and 1,196.55

Step by Step Solution

1. Step 1: Write the proportion equation
   797.17 : 1,196.55 = 1,196.55 : x
2. Step 2: Convert to fraction form
   797.17/1,196.55 = 1,196.55/x
3. Step 3: Cross multiply
   797.17x = 1,196.55 × 1,196.55
4. Step 4: Simplify right side
   797.17x = 1,431,730.85
5. Step 5: Solve for x
   x = 1,431,730.85/797.17
6. Step 6: Final answer
   x = 1,796.03