Finding the Third Proportional to 588,096 and 1,275,768

Step by Step Solution

1. Step 1: Write the proportion equation
   588,096 : 1,275,768 = 1,275,768 : x
2. Step 2: Convert to fraction form
   588,096/1,275,768 = 1,275,768/x
3. Step 3: Cross multiply
   588,096x = 1,275,768 × 1,275,768
4. Step 4: Simplify right side
   588,096x = 1,627,583,989,824
5. Step 5: Solve for x
   x = 1,627,583,989,824/588,096
6. Step 6: Final answer
   x = 2,767,548.14