Finding the Third Proportional to 564,678 and 1,215,864

Step by Step Solution

1. Step 1: Write the proportion equation
   564,678 : 1,215,864 = 1,215,864 : x
2. Step 2: Convert to fraction form
   564,678/1,215,864 = 1,215,864/x
3. Step 3: Cross multiply
   564,678x = 1,215,864 × 1,215,864
4. Step 4: Simplify right side
   564,678x = 1,478,325,266,496
5. Step 5: Solve for x
   x = 1,478,325,266,496/564,678
6. Step 6: Final answer
   x = 2,617,996.92