Finding the Third Proportional to 2,005,209 and 4,175,655

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005,209 : 4,175,655 = 4,175,655 : x
2. Step 2: Convert to fraction form
   2,005,209/4,175,655 = 4,175,655/x
3. Step 3: Cross multiply
   2,005,209x = 4,175,655 × 4,175,655
4. Step 4: Simplify right side
   2,005,209x = 17,436,094,679,025
5. Step 5: Solve for x
   x = 17,436,094,679,025/2,005,209
6. Step 6: Final answer
   x = 8,695,400.17