Finding the Third Proportional to 456.28 and 650.16

Step by Step Solution

1. Step 1: Write the proportion equation
   456.28 : 650.16 = 650.16 : x
2. Step 2: Convert to fraction form
   456.28/650.16 = 650.16/x
3. Step 3: Cross multiply
   456.28x = 650.16 × 650.16
4. Step 4: Simplify right side
   456.28x = 422,703.15
5. Step 5: Solve for x
   x = 422,703.15/456.28
6. Step 6: Final answer
   x = 926.41