Finding the Third Proportional to 677,589 and 1,338,168

Step by Step Solution

1. Step 1: Write the proportion equation
   677,589 : 1,338,168 = 1,338,168 : x
2. Step 2: Convert to fraction form
   677,589/1,338,168 = 1,338,168/x
3. Step 3: Cross multiply
   677,589x = 1,338,168 × 1,338,168
4. Step 4: Simplify right side
   677,589x = 1,790,693,596,224
5. Step 5: Solve for x
   x = 1,790,693,596,224/677,589
6. Step 6: Final answer
   x = 2,642,743.01