Finding the Third Proportional to 821,420 and 1,797,690

Step by Step Solution

1. Step 1: Write the proportion equation
   821,420 : 1,797,690 = 1,797,690 : x
2. Step 2: Convert to fraction form
   821,420/1,797,690 = 1,797,690/x
3. Step 3: Cross multiply
   821,420x = 1,797,690 × 1,797,690
4. Step 4: Simplify right side
   821,420x = 3,231,689,336,100
5. Step 5: Solve for x
   x = 3,231,689,336,100/821,420
6. Step 6: Final answer
   x = 3,934,271.55