Finding the Third Proportional to 682,780.50 and 1,025,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   682,780.50 : 1,025,923.50 = 1,025,923.50 : x
2. Step 2: Convert to fraction form
   682,780.50/1,025,923.50 = 1,025,923.50/x
3. Step 3: Cross multiply
   682,780.50x = 1,025,923.50 × 1,025,923.50
4. Step 4: Simplify right side
   682,780.50x = 1,052,519,027,852.25
5. Step 5: Solve for x
   x = 1,052,519,027,852.25/682,780.50
6. Step 6: Final answer
   x = 1,541,518.87