Finding the Third Proportional to 380,072.25 and 826,299

Step by Step Solution

1. Step 1: Write the proportion equation
   380,072.25 : 826,299 = 826,299 : x
2. Step 2: Convert to fraction form
   380,072.25/826,299 = 826,299/x
3. Step 3: Cross multiply
   380,072.25x = 826,299 × 826,299
4. Step 4: Simplify right side
   380,072.25x = 682,770,037,401
5. Step 5: Solve for x
   x = 682,770,037,401/380,072.25
6. Step 6: Final answer
   x = 1,796,421.70