Finding the Third Proportional to 2,509,864 and 3,878,156

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509,864 : 3,878,156 = 3,878,156 : x
2. Step 2: Convert to fraction form
   2,509,864/3,878,156 = 3,878,156/x
3. Step 3: Cross multiply
   2,509,864x = 3,878,156 × 3,878,156
4. Step 4: Simplify right side
   2,509,864x = 15,040,093,960,336
5. Step 5: Solve for x
   x = 15,040,093,960,336/2,509,864
6. Step 6: Final answer
   x = 5,992,393.99