Finding the Third Proportional to 460.27 and 919.27

Step by Step Solution

1. Step 1: Write the proportion equation
   460.27 : 919.27 = 919.27 : x
2. Step 2: Convert to fraction form
   460.27/919.27 = 919.27/x
3. Step 3: Cross multiply
   460.27x = 919.27 × 919.27
4. Step 4: Simplify right side
   460.27x = 845,049.29
5. Step 5: Solve for x
   x = 845,049.29/460.27
6. Step 6: Final answer
   x = 1,836.00