Finding the Third Proportional to 823,678 and 1,804,820

Step by Step Solution

1. Step 1: Write the proportion equation
   823,678 : 1,804,820 = 1,804,820 : x
2. Step 2: Convert to fraction form
   823,678/1,804,820 = 1,804,820/x
3. Step 3: Cross multiply
   823,678x = 1,804,820 × 1,804,820
4. Step 4: Simplify right side
   823,678x = 3,257,375,232,400
5. Step 5: Solve for x
   x = 3,257,375,232,400/823,678
6. Step 6: Final answer
   x = 3,954,670.68