Finding the Third Proportional to 380,082 and 826,320

Step by Step Solution

1. Step 1: Write the proportion equation
   380,082 : 826,320 = 826,320 : x
2. Step 2: Convert to fraction form
   380,082/826,320 = 826,320/x
3. Step 3: Cross multiply
   380,082x = 826,320 × 826,320
4. Step 4: Simplify right side
   380,082x = 682,804,742,400
5. Step 5: Solve for x
   x = 682,804,742,400/380,082
6. Step 6: Final answer
   x = 1,796,466.93