Finding the Third Proportional to 829,685 and 1,809,538

Step by Step Solution

1. Step 1: Write the proportion equation
   829,685 : 1,809,538 = 1,809,538 : x
2. Step 2: Convert to fraction form
   829,685/1,809,538 = 1,809,538/x
3. Step 3: Cross multiply
   829,685x = 1,809,538 × 1,809,538
4. Step 4: Simplify right side
   829,685x = 3,274,427,773,444
5. Step 5: Solve for x
   x = 3,274,427,773,444/829,685
6. Step 6: Final answer
   x = 3,946,591.51