Finding the Third Proportional to 825,803 and 1,223,355

Step by Step Solution

1. Step 1: Write the proportion equation
   825,803 : 1,223,355 = 1,223,355 : x
2. Step 2: Convert to fraction form
   825,803/1,223,355 = 1,223,355/x
3. Step 3: Cross multiply
   825,803x = 1,223,355 × 1,223,355
4. Step 4: Simplify right side
   825,803x = 1,496,597,456,025
5. Step 5: Solve for x
   x = 1,496,597,456,025/825,803
6. Step 6: Final answer
   x = 1,812,293.56