Finding the Third Proportional to 2,005,206 and 4,175,651

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005,206 : 4,175,651 = 4,175,651 : x
2. Step 2: Convert to fraction form
   2,005,206/4,175,651 = 4,175,651/x
3. Step 3: Cross multiply
   2,005,206x = 4,175,651 × 4,175,651
4. Step 4: Simplify right side
   2,005,206x = 17,436,061,273,801
5. Step 5: Solve for x
   x = 17,436,061,273,801/2,005,206
6. Step 6: Final answer
   x = 8,695,396.52