Finding the Third Proportional to 825,578 and 1,686,140

Step by Step Solution

1. Step 1: Write the proportion equation
   825,578 : 1,686,140 = 1,686,140 : x
2. Step 2: Convert to fraction form
   825,578/1,686,140 = 1,686,140/x
3. Step 3: Cross multiply
   825,578x = 1,686,140 × 1,686,140
4. Step 4: Simplify right side
   825,578x = 2,843,068,099,600
5. Step 5: Solve for x
   x = 2,843,068,099,600/825,578
6. Step 6: Final answer
   x = 3,443,730.45