Finding the Third Proportional to 793.88 and 1,183.69

Step by Step Solution

1. Step 1: Write the proportion equation
   793.88 : 1,183.69 = 1,183.69 : x
2. Step 2: Convert to fraction form
   793.88/1,183.69 = 1,183.69/x
3. Step 3: Cross multiply
   793.88x = 1,183.69 × 1,183.69
4. Step 4: Simplify right side
   793.88x = 1,401,116.10
5. Step 5: Solve for x
   x = 1,401,116.10/793.88
6. Step 6: Final answer
   x = 1,764.91