Finding the Third Proportional to 477.88 and 1,049.69

Step by Step Solution

1. Step 1: Write the proportion equation
   477.88 : 1,049.69 = 1,049.69 : x
2. Step 2: Convert to fraction form
   477.88/1,049.69 = 1,049.69/x
3. Step 3: Cross multiply
   477.88x = 1,049.69 × 1,049.69
4. Step 4: Simplify right side
   477.88x = 1,101,843.85
5. Step 5: Solve for x
   x = 1,101,843.85/477.88
6. Step 6: Final answer
   x = 2,305.72