Finding the Third Proportional to 2,057,184 and 4,214,592

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057,184 : 4,214,592 = 4,214,592 : x
2. Step 2: Convert to fraction form
   2,057,184/4,214,592 = 4,214,592/x
3. Step 3: Cross multiply
   2,057,184x = 4,214,592 × 4,214,592
4. Step 4: Simplify right side
   2,057,184x = 17,762,785,726,464
5. Step 5: Solve for x
   x = 17,762,785,726,464/2,057,184
6. Step 6: Final answer
   x = 8,634,514.82