Finding the Third Proportional to 796.78 and 1,230.61

Step by Step Solution

1. Step 1: Write the proportion equation
   796.78 : 1,230.61 = 1,230.61 : x
2. Step 2: Convert to fraction form
   796.78/1,230.61 = 1,230.61/x
3. Step 3: Cross multiply
   796.78x = 1,230.61 × 1,230.61
4. Step 4: Simplify right side
   796.78x = 1,514,399.43
5. Step 5: Solve for x
   x = 1,514,399.43/796.78
6. Step 6: Final answer
   x = 1,900.65