Finding the Third Proportional to 829,662.75 and 1,809,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   829,662.75 : 1,809,499.50 = 1,809,499.50 : x
2. Step 2: Convert to fraction form
   829,662.75/1,809,499.50 = 1,809,499.50/x
3. Step 3: Cross multiply
   829,662.75x = 1,809,499.50 × 1,809,499.50
4. Step 4: Simplify right side
   829,662.75x = 3,274,288,440,500.25
5. Step 5: Solve for x
   x = 3,274,288,440,500.25/829,662.75
6. Step 6: Final answer
   x = 3,946,529.41