Finding the Third Proportional to 380,333 and 826,339

Step by Step Solution

1. Step 1: Write the proportion equation
   380,333 : 826,339 = 826,339 : x
2. Step 2: Convert to fraction form
   380,333/826,339 = 826,339/x
3. Step 3: Cross multiply
   380,333x = 826,339 × 826,339
4. Step 4: Simplify right side
   380,333x = 682,836,142,921
5. Step 5: Solve for x
   x = 682,836,142,921/380,333
6. Step 6: Final answer
   x = 1,795,363.91