Finding the Third Proportional to 380,082 and 825,876

Step by Step Solution

1. Step 1: Write the proportion equation
   380,082 : 825,876 = 825,876 : x
2. Step 2: Convert to fraction form
   380,082/825,876 = 825,876/x
3. Step 3: Cross multiply
   380,082x = 825,876 × 825,876
4. Step 4: Simplify right side
   380,082x = 682,071,167,376
5. Step 5: Solve for x
   x = 682,071,167,376/380,082
6. Step 6: Final answer
   x = 1,794,536.88