Finding the Third Proportional to 389,208 and 838,456

Step by Step Solution

1. Step 1: Write the proportion equation
   389,208 : 838,456 = 838,456 : x
2. Step 2: Convert to fraction form
   389,208/838,456 = 838,456/x
3. Step 3: Cross multiply
   389,208x = 838,456 × 838,456
4. Step 4: Simplify right side
   389,208x = 703,008,463,936
5. Step 5: Solve for x
   x = 703,008,463,936/389,208
6. Step 6: Final answer
   x = 1,806,253.89