Finding the Third Proportional to 829,710 and 1,809,588

Step by Step Solution

1. Step 1: Write the proportion equation
   829,710 : 1,809,588 = 1,809,588 : x
2. Step 2: Convert to fraction form
   829,710/1,809,588 = 1,809,588/x
3. Step 3: Cross multiply
   829,710x = 1,809,588 × 1,809,588
4. Step 4: Simplify right side
   829,710x = 3,274,608,729,744
5. Step 5: Solve for x
   x = 3,274,608,729,744/829,710
6. Step 6: Final answer
   x = 3,946,690.69