Finding the Third Proportional to 274,096 and 597,864

Step by Step Solution

1. Step 1: Write the proportion equation
   274,096 : 597,864 = 597,864 : x
2. Step 2: Convert to fraction form
   274,096/597,864 = 597,864/x
3. Step 3: Cross multiply
   274,096x = 597,864 × 597,864
4. Step 4: Simplify right side
   274,096x = 357,441,362,496
5. Step 5: Solve for x
   x = 357,441,362,496/274,096
6. Step 6: Final answer
   x = 1,304,073.62