Finding the Third Proportional to 647,536 and 1,320,768

Step by Step Solution

1. Step 1: Write the proportion equation
   647,536 : 1,320,768 = 1,320,768 : x
2. Step 2: Convert to fraction form
   647,536/1,320,768 = 1,320,768/x
3. Step 3: Cross multiply
   647,536x = 1,320,768 × 1,320,768
4. Step 4: Simplify right side
   647,536x = 1,744,428,109,824
5. Step 5: Solve for x
   x = 1,744,428,109,824/647,536
6. Step 6: Final answer
   x = 2,693,947.69