Finding the Third Proportional to 380,154 and 826,020

Step by Step Solution

1. Step 1: Write the proportion equation
   380,154 : 826,020 = 826,020 : x
2. Step 2: Convert to fraction form
   380,154/826,020 = 826,020/x
3. Step 3: Cross multiply
   380,154x = 826,020 × 826,020
4. Step 4: Simplify right side
   380,154x = 682,309,040,400
5. Step 5: Solve for x
   x = 682,309,040,400/380,154
6. Step 6: Final answer
   x = 1,794,822.73