Finding the Third Proportional to 376,022 and 826,456

Step by Step Solution

1. Step 1: Write the proportion equation
   376,022 : 826,456 = 826,456 : x
2. Step 2: Convert to fraction form
   376,022/826,456 = 826,456/x
3. Step 3: Cross multiply
   376,022x = 826,456 × 826,456
4. Step 4: Simplify right side
   376,022x = 683,029,519,936
5. Step 5: Solve for x
   x = 683,029,519,936/376,022
6. Step 6: Final answer
   x = 1,816,461.59