Finding the Third Proportional to 1,777,864 and 2,824,268

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777,864 : 2,824,268 = 2,824,268 : x
2. Step 2: Convert to fraction form
   1,777,864/2,824,268 = 2,824,268/x
3. Step 3: Cross multiply
   1,777,864x = 2,824,268 × 2,824,268
4. Step 4: Simplify right side
   1,777,864x = 7,976,489,735,824
5. Step 5: Solve for x
   x = 7,976,489,735,824/1,777,864
6. Step 6: Final answer
   x = 4,486,557.88