Finding the Third Proportional to 829,714 and 1,809,596

Step by Step Solution

1. Step 1: Write the proportion equation
   829,714 : 1,809,596 = 1,809,596 : x
2. Step 2: Convert to fraction form
   829,714/1,809,596 = 1,809,596/x
3. Step 3: Cross multiply
   829,714x = 1,809,596 × 1,809,596
4. Step 4: Simplify right side
   829,714x = 3,274,637,683,216
5. Step 5: Solve for x
   x = 3,274,637,683,216/829,714
6. Step 6: Final answer
   x = 3,946,706.56