Finding the Third Proportional to 825,585 and 1,686,162

Step by Step Solution

1. Step 1: Write the proportion equation
   825,585 : 1,686,162 = 1,686,162 : x
2. Step 2: Convert to fraction form
   825,585/1,686,162 = 1,686,162/x
3. Step 3: Cross multiply
   825,585x = 1,686,162 × 1,686,162
4. Step 4: Simplify right side
   825,585x = 2,843,142,290,244
5. Step 5: Solve for x
   x = 2,843,142,290,244/825,585
6. Step 6: Final answer
   x = 3,443,791.12