Finding the Third Proportional to 778,436 and 1,678,408

Step by Step Solution

1. Step 1: Write the proportion equation
   778,436 : 1,678,408 = 1,678,408 : x
2. Step 2: Convert to fraction form
   778,436/1,678,408 = 1,678,408/x
3. Step 3: Cross multiply
   778,436x = 1,678,408 × 1,678,408
4. Step 4: Simplify right side
   778,436x = 2,817,053,414,464
5. Step 5: Solve for x
   x = 2,817,053,414,464/778,436
6. Step 6: Final answer
   x = 3,618,863.23