Finding the Third Proportional to 678,105 and 1,025,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   678,105 : 1,025,896.50 = 1,025,896.50 : x
2. Step 2: Convert to fraction form
   678,105/1,025,896.50 = 1,025,896.50/x
3. Step 3: Cross multiply
   678,105x = 1,025,896.50 × 1,025,896.50
4. Step 4: Simplify right side
   678,105x = 1,052,463,628,712.25
5. Step 5: Solve for x
   x = 1,052,463,628,712.25/678,105
6. Step 6: Final answer
   x = 1,552,065.87