Finding the Third Proportional to 825,578 and 1,686,142

Step by Step Solution

1. Step 1: Write the proportion equation
   825,578 : 1,686,142 = 1,686,142 : x
2. Step 2: Convert to fraction form
   825,578/1,686,142 = 1,686,142/x
3. Step 3: Cross multiply
   825,578x = 1,686,142 × 1,686,142
4. Step 4: Simplify right side
   825,578x = 2,843,074,844,164
5. Step 5: Solve for x
   x = 2,843,074,844,164/825,578
6. Step 6: Final answer
   x = 3,443,738.62