Finding the Third Proportional to 686,256 and 1,041,048

Step by Step Solution

1. Step 1: Write the proportion equation
   686,256 : 1,041,048 = 1,041,048 : x
2. Step 2: Convert to fraction form
   686,256/1,041,048 = 1,041,048/x
3. Step 3: Cross multiply
   686,256x = 1,041,048 × 1,041,048
4. Step 4: Simplify right side
   686,256x = 1,083,780,938,304
5. Step 5: Solve for x
   x = 1,083,780,938,304/686,256
6. Step 6: Final answer
   x = 1,579,266.25