Finding the Third Proportional to 823,863 and 1,780,974

Step by Step Solution

1. Step 1: Write the proportion equation
   823,863 : 1,780,974 = 1,780,974 : x
2. Step 2: Convert to fraction form
   823,863/1,780,974 = 1,780,974/x
3. Step 3: Cross multiply
   823,863x = 1,780,974 × 1,780,974
4. Step 4: Simplify right side
   823,863x = 3,171,868,388,676
5. Step 5: Solve for x
   x = 3,171,868,388,676/823,863
6. Step 6: Final answer
   x = 3,849,994.95