Finding the Third Proportional to 2,005,212 and 4,175,666

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005,212 : 4,175,666 = 4,175,666 : x
2. Step 2: Convert to fraction form
   2,005,212/4,175,666 = 4,175,666/x
3. Step 3: Cross multiply
   2,005,212x = 4,175,666 × 4,175,666
4. Step 4: Simplify right side
   2,005,212x = 17,436,186,543,556
5. Step 5: Solve for x
   x = 17,436,186,543,556/2,005,212
6. Step 6: Final answer
   x = 8,695,432.97