Finding the Third Proportional to 826,124 and 1,223,834

Step by Step Solution

1. Step 1: Write the proportion equation
   826,124 : 1,223,834 = 1,223,834 : x
2. Step 2: Convert to fraction form
   826,124/1,223,834 = 1,223,834/x
3. Step 3: Cross multiply
   826,124x = 1,223,834 × 1,223,834
4. Step 4: Simplify right side
   826,124x = 1,497,769,659,556
5. Step 5: Solve for x
   x = 1,497,769,659,556/826,124
6. Step 6: Final answer
   x = 1,813,008.29