Finding the Third Proportional to 829,689 and 1,809,546

Step by Step Solution

1. Step 1: Write the proportion equation
   829,689 : 1,809,546 = 1,809,546 : x
2. Step 2: Convert to fraction form
   829,689/1,809,546 = 1,809,546/x
3. Step 3: Cross multiply
   829,689x = 1,809,546 × 1,809,546
4. Step 4: Simplify right side
   829,689x = 3,274,456,726,116
5. Step 5: Solve for x
   x = 3,274,456,726,116/829,689
6. Step 6: Final answer
   x = 3,946,607.37