Finding the Third Proportional to 1,406,920 and 2,181,768

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406,920 : 2,181,768 = 2,181,768 : x
2. Step 2: Convert to fraction form
   1,406,920/2,181,768 = 2,181,768/x
3. Step 3: Cross multiply
   1,406,920x = 2,181,768 × 2,181,768
4. Step 4: Simplify right side
   1,406,920x = 4,760,111,605,824
5. Step 5: Solve for x
   x = 4,760,111,605,824/1,406,920
6. Step 6: Final answer
   x = 3,383,356.27