Finding the Third Proportional to 2,005,204 and 4,175,647

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005,204 : 4,175,647 = 4,175,647 : x
2. Step 2: Convert to fraction form
   2,005,204/4,175,647 = 4,175,647/x
3. Step 3: Cross multiply
   2,005,204x = 4,175,647 × 4,175,647
4. Step 4: Simplify right side
   2,005,204x = 17,436,027,868,609
5. Step 5: Solve for x
   x = 17,436,027,868,609/2,005,204
6. Step 6: Final answer
   x = 8,695,388.53