Finding the Third Proportional to 829,666 and 1,809,501

Step by Step Solution

1. Step 1: Write the proportion equation
   829,666 : 1,809,501 = 1,809,501 : x
2. Step 2: Convert to fraction form
   829,666/1,809,501 = 1,809,501/x
3. Step 3: Cross multiply
   829,666x = 1,809,501 × 1,809,501
4. Step 4: Simplify right side
   829,666x = 3,274,293,869,001
5. Step 5: Solve for x
   x = 3,274,293,869,001/829,666
6. Step 6: Final answer
   x = 3,946,520.49