Finding the Third Proportional to 825,546 and 1,686,084

Step by Step Solution

1. Step 1: Write the proportion equation
   825,546 : 1,686,084 = 1,686,084 : x
2. Step 2: Convert to fraction form
   825,546/1,686,084 = 1,686,084/x
3. Step 3: Cross multiply
   825,546x = 1,686,084 × 1,686,084
4. Step 4: Simplify right side
   825,546x = 2,842,879,255,056
5. Step 5: Solve for x
   x = 2,842,879,255,056/825,546
6. Step 6: Final answer
   x = 3,443,635.19