Finding the Third Proportional to 779,296 and 1,678,976

Step by Step Solution

1. Step 1: Write the proportion equation
   779,296 : 1,678,976 = 1,678,976 : x
2. Step 2: Convert to fraction form
   779,296/1,678,976 = 1,678,976/x
3. Step 3: Cross multiply
   779,296x = 1,678,976 × 1,678,976
4. Step 4: Simplify right side
   779,296x = 2,818,960,408,576
5. Step 5: Solve for x
   x = 2,818,960,408,576/779,296
6. Step 6: Final answer
   x = 3,617,316.67