Finding the Third Proportional to 822,678 and 1,834,404

Step by Step Solution

1. Step 1: Write the proportion equation
   822,678 : 1,834,404 = 1,834,404 : x
2. Step 2: Convert to fraction form
   822,678/1,834,404 = 1,834,404/x
3. Step 3: Cross multiply
   822,678x = 1,834,404 × 1,834,404
4. Step 4: Simplify right side
   822,678x = 3,365,038,035,216
5. Step 5: Solve for x
   x = 3,365,038,035,216/822,678
6. Step 6: Final answer
   x = 4,090,346.45