Finding the Third Proportional to 239,510 and 333,016

Step by Step Solution

1. Step 1: Write the proportion equation
   239,510 : 333,016 = 333,016 : x
2. Step 2: Convert to fraction form
   239,510/333,016 = 333,016/x
3. Step 3: Cross multiply
   239,510x = 333,016 × 333,016
4. Step 4: Simplify right side
   239,510x = 110,899,656,256
5. Step 5: Solve for x
   x = 110,899,656,256/239,510
6. Step 6: Final answer
   x = 463,027.25