Finding the Third Proportional to 825,561 and 1,686,114

Step by Step Solution

1. Step 1: Write the proportion equation
   825,561 : 1,686,114 = 1,686,114 : x
2. Step 2: Convert to fraction form
   825,561/1,686,114 = 1,686,114/x
3. Step 3: Cross multiply
   825,561x = 1,686,114 × 1,686,114
4. Step 4: Simplify right side
   825,561x = 2,842,980,420,996
5. Step 5: Solve for x
   x = 2,842,980,420,996/825,561
6. Step 6: Final answer
   x = 3,443,695.16