Finding the Third Proportional to 682,783 and 1,025,927

Step by Step Solution

1. Step 1: Write the proportion equation
   682,783 : 1,025,927 = 1,025,927 : x
2. Step 2: Convert to fraction form
   682,783/1,025,927 = 1,025,927/x
3. Step 3: Cross multiply
   682,783x = 1,025,927 × 1,025,927
4. Step 4: Simplify right side
   682,783x = 1,052,526,209,329
5. Step 5: Solve for x
   x = 1,052,526,209,329/682,783
6. Step 6: Final answer
   x = 1,541,523.75