Finding the Third Proportional to 456.33 and 650.25

Step by Step Solution

1. Step 1: Write the proportion equation
   456.33 : 650.25 = 650.25 : x
2. Step 2: Convert to fraction form
   456.33/650.25 = 650.25/x
3. Step 3: Cross multiply
   456.33x = 650.25 × 650.25
4. Step 4: Simplify right side
   456.33x = 422,825.06
5. Step 5: Solve for x
   x = 422,825.06/456.33
6. Step 6: Final answer
   x = 926.58