Finding the Third Proportional to 5,178,864 and 7,840,266

Step by Step Solution

1. Step 1: Write the proportion equation
   5,178,864 : 7,840,266 = 7,840,266 : x
2. Step 2: Convert to fraction form
   5,178,864/7,840,266 = 7,840,266/x
3. Step 3: Cross multiply
   5,178,864x = 7,840,266 × 7,840,266
4. Step 4: Simplify right side
   5,178,864x = 61,469,770,950,756
5. Step 5: Solve for x
   x = 61,469,770,950,756/5,178,864
6. Step 6: Final answer
   x = 11,869,354.16