Finding the Third Proportional to 320,864 and 683,016

Step by Step Solution

1. Step 1: Write the proportion equation
   320,864 : 683,016 = 683,016 : x
2. Step 2: Convert to fraction form
   320,864/683,016 = 683,016/x
3. Step 3: Cross multiply
   320,864x = 683,016 × 683,016
4. Step 4: Simplify right side
   320,864x = 466,510,856,256
5. Step 5: Solve for x
   x = 466,510,856,256/320,864
6. Step 6: Final answer
   x = 1,453,920.84