Finding the Third Proportional to 825,843 and 1,223,412

Step by Step Solution

1. Step 1: Write the proportion equation
   825,843 : 1,223,412 = 1,223,412 : x
2. Step 2: Convert to fraction form
   825,843/1,223,412 = 1,223,412/x
3. Step 3: Cross multiply
   825,843x = 1,223,412 × 1,223,412
4. Step 4: Simplify right side
   825,843x = 1,496,736,921,744
5. Step 5: Solve for x
   x = 1,496,736,921,744/825,843
6. Step 6: Final answer
   x = 1,812,374.65