Finding the Third Proportional to 677,824 and 1,338,640

Step by Step Solution

1. Step 1: Write the proportion equation
   677,824 : 1,338,640 = 1,338,640 : x
2. Step 2: Convert to fraction form
   677,824/1,338,640 = 1,338,640/x
3. Step 3: Cross multiply
   677,824x = 1,338,640 × 1,338,640
4. Step 4: Simplify right side
   677,824x = 1,791,957,049,600
5. Step 5: Solve for x
   x = 1,791,957,049,600/677,824
6. Step 6: Final answer
   x = 2,643,690.77