Finding the Third Proportional to 773.72 and 1,205.72

Step by Step Solution

1. Step 1: Write the proportion equation
   773.72 : 1,205.72 = 1,205.72 : x
2. Step 2: Convert to fraction form
   773.72/1,205.72 = 1,205.72/x
3. Step 3: Cross multiply
   773.72x = 1,205.72 × 1,205.72
4. Step 4: Simplify right side
   773.72x = 1,453,757.70
5. Step 5: Solve for x
   x = 1,453,757.70/773.72
6. Step 6: Final answer
   x = 1,878.92