Finding the Third Proportional to 825,772.50 and 1,206,789

Step by Step Solution

1. Step 1: Write the proportion equation
   825,772.50 : 1,206,789 = 1,206,789 : x
2. Step 2: Convert to fraction form
   825,772.50/1,206,789 = 1,206,789/x
3. Step 3: Cross multiply
   825,772.50x = 1,206,789 × 1,206,789
4. Step 4: Simplify right side
   825,772.50x = 1,456,339,690,521
5. Step 5: Solve for x
   x = 1,456,339,690,521/825,772.50
6. Step 6: Final answer
   x = 1,763,608.85