Finding the Third Proportional to 462.94 and 650.06

Step by Step Solution

1. Step 1: Write the proportion equation
   462.94 : 650.06 = 650.06 : x
2. Step 2: Convert to fraction form
   462.94/650.06 = 650.06/x
3. Step 3: Cross multiply
   462.94x = 650.06 × 650.06
4. Step 4: Simplify right side
   462.94x = 422,581.25
5. Step 5: Solve for x
   x = 422,581.25/462.94
6. Step 6: Final answer
   x = 912.83