Finding the Third Proportional to 823,868 and 1,780,982

Step by Step Solution

1. Step 1: Write the proportion equation
   823,868 : 1,780,982 = 1,780,982 : x
2. Step 2: Convert to fraction form
   823,868/1,780,982 = 1,780,982/x
3. Step 3: Cross multiply
   823,868x = 1,780,982 × 1,780,982
4. Step 4: Simplify right side
   823,868x = 3,171,896,884,324
5. Step 5: Solve for x
   x = 3,171,896,884,324/823,868
6. Step 6: Final answer
   x = 3,850,006.17