Finding the Third Proportional to 773.63 and 1,198.69

Step by Step Solution

1. Step 1: Write the proportion equation
   773.63 : 1,198.69 = 1,198.69 : x
2. Step 2: Convert to fraction form
   773.63/1,198.69 = 1,198.69/x
3. Step 3: Cross multiply
   773.63x = 1,198.69 × 1,198.69
4. Step 4: Simplify right side
   773.63x = 1,436,851.72
5. Step 5: Solve for x
   x = 1,436,851.72/773.63
6. Step 6: Final answer
   x = 1,857.30