Finding the Third Proportional to 415,584 and 902,016

Step by Step Solution

1. Step 1: Write the proportion equation
   415,584 : 902,016 = 902,016 : x
2. Step 2: Convert to fraction form
   415,584/902,016 = 902,016/x
3. Step 3: Cross multiply
   415,584x = 902,016 × 902,016
4. Step 4: Simplify right side
   415,584x = 813,632,864,256
5. Step 5: Solve for x
   x = 813,632,864,256/415,584
6. Step 6: Final answer
   x = 1,957,806.04