Finding the Third Proportional to 825,893 and 1,828,663

Step by Step Solution

1. Step 1: Write the proportion equation
   825,893 : 1,828,663 = 1,828,663 : x
2. Step 2: Convert to fraction form
   825,893/1,828,663 = 1,828,663/x
3. Step 3: Cross multiply
   825,893x = 1,828,663 × 1,828,663
4. Step 4: Simplify right side
   825,893x = 3,344,008,367,569
5. Step 5: Solve for x
   x = 3,344,008,367,569/825,893
6. Step 6: Final answer
   x = 4,048,960.78