Finding the Third Proportional to 2,509,874 and 3,878,175

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509,874 : 3,878,175 = 3,878,175 : x
2. Step 2: Convert to fraction form
   2,509,874/3,878,175 = 3,878,175/x
3. Step 3: Cross multiply
   2,509,874x = 3,878,175 × 3,878,175
4. Step 4: Simplify right side
   2,509,874x = 15,040,241,330,625
5. Step 5: Solve for x
   x = 15,040,241,330,625/2,509,874
6. Step 6: Final answer
   x = 5,992,428.84