Finding the Third Proportional to 411,864 and 902,456

Step by Step Solution

1. Step 1: Write the proportion equation
   411,864 : 902,456 = 902,456 : x
2. Step 2: Convert to fraction form
   411,864/902,456 = 902,456/x
3. Step 3: Cross multiply
   411,864x = 902,456 × 902,456
4. Step 4: Simplify right side
   411,864x = 814,426,831,936
5. Step 5: Solve for x
   x = 814,426,831,936/411,864
6. Step 6: Final answer
   x = 1,977,416.89