Finding the Third Proportional to 820,492 and 1,772,204

Step by Step Solution

1. Step 1: Write the proportion equation
   820,492 : 1,772,204 = 1,772,204 : x
2. Step 2: Convert to fraction form
   820,492/1,772,204 = 1,772,204/x
3. Step 3: Cross multiply
   820,492x = 1,772,204 × 1,772,204
4. Step 4: Simplify right side
   820,492x = 3,140,707,017,616
5. Step 5: Solve for x
   x = 3,140,707,017,616/820,492
6. Step 6: Final answer
   x = 3,827,833.81