Finding the Third Proportional to 230,434 and 470,016

Step by Step Solution

1. Step 1: Write the proportion equation
   230,434 : 470,016 = 470,016 : x
2. Step 2: Convert to fraction form
   230,434/470,016 = 470,016/x
3. Step 3: Cross multiply
   230,434x = 470,016 × 470,016
4. Step 4: Simplify right side
   230,434x = 220,915,040,256
5. Step 5: Solve for x
   x = 220,915,040,256/230,434
6. Step 6: Final answer
   x = 958,691.17