Finding the Third Proportional to 380,084 and 826,323

Step by Step Solution

1. Step 1: Write the proportion equation
   380,084 : 826,323 = 826,323 : x
2. Step 2: Convert to fraction form
   380,084/826,323 = 826,323/x
3. Step 3: Cross multiply
   380,084x = 826,323 × 826,323
4. Step 4: Simplify right side
   380,084x = 682,809,700,329
5. Step 5: Solve for x
   x = 682,809,700,329/380,084
6. Step 6: Final answer
   x = 1,796,470.52