Finding the Third Proportional to 816,564 and 1,225,662

Step by Step Solution

1. Step 1: Write the proportion equation
   816,564 : 1,225,662 = 1,225,662 : x
2. Step 2: Convert to fraction form
   816,564/1,225,662 = 1,225,662/x
3. Step 3: Cross multiply
   816,564x = 1,225,662 × 1,225,662
4. Step 4: Simplify right side
   816,564x = 1,502,247,338,244
5. Step 5: Solve for x
   x = 1,502,247,338,244/816,564
6. Step 6: Final answer
   x = 1,839,717.82