Finding the Third Proportional to 778,576 and 1,678,688

Step by Step Solution

1. Step 1: Write the proportion equation
   778,576 : 1,678,688 = 1,678,688 : x
2. Step 2: Convert to fraction form
   778,576/1,678,688 = 1,678,688/x
3. Step 3: Cross multiply
   778,576x = 1,678,688 × 1,678,688
4. Step 4: Simplify right side
   778,576x = 2,817,993,401,344
5. Step 5: Solve for x
   x = 2,817,993,401,344/778,576
6. Step 6: Final answer
   x = 3,619,419.81