Finding the Third Proportional to 825,552 and 1,686,096

Step by Step Solution

1. Step 1: Write the proportion equation
   825,552 : 1,686,096 = 1,686,096 : x
2. Step 2: Convert to fraction form
   825,552/1,686,096 = 1,686,096/x
3. Step 3: Cross multiply
   825,552x = 1,686,096 × 1,686,096
4. Step 4: Simplify right side
   825,552x = 2,842,919,721,216
5. Step 5: Solve for x
   x = 2,842,919,721,216/825,552
6. Step 6: Final answer
   x = 3,443,659.18