Finding the Third Proportional to 825,543 and 1,686,078

Step by Step Solution

1. Step 1: Write the proportion equation
   825,543 : 1,686,078 = 1,686,078 : x
2. Step 2: Convert to fraction form
   825,543/1,686,078 = 1,686,078/x
3. Step 3: Cross multiply
   825,543x = 1,686,078 × 1,686,078
4. Step 4: Simplify right side
   825,543x = 2,842,859,022,084
5. Step 5: Solve for x
   x = 2,842,859,022,084/825,543
6. Step 6: Final answer
   x = 3,443,623.19