Finding the Third Proportional to 407,662 and 833,456

Step by Step Solution

1. Step 1: Write the proportion equation
   407,662 : 833,456 = 833,456 : x
2. Step 2: Convert to fraction form
   407,662/833,456 = 833,456/x
3. Step 3: Cross multiply
   407,662x = 833,456 × 833,456
4. Step 4: Simplify right side
   407,662x = 694,648,903,936
5. Step 5: Solve for x
   x = 694,648,903,936/407,662
6. Step 6: Final answer
   x = 1,703,982.48