Finding the Third Proportional to 326,484 and 686,016

Step by Step Solution

1. Step 1: Write the proportion equation
   326,484 : 686,016 = 686,016 : x
2. Step 2: Convert to fraction form
   326,484/686,016 = 686,016/x
3. Step 3: Cross multiply
   326,484x = 686,016 × 686,016
4. Step 4: Simplify right side
   326,484x = 470,617,952,256
5. Step 5: Solve for x
   x = 470,617,952,256/326,484
6. Step 6: Final answer
   x = 1,441,473.25