Finding the Third Proportional to 380,080 and 825,872

Step by Step Solution

1. Step 1: Write the proportion equation
   380,080 : 825,872 = 825,872 : x
2. Step 2: Convert to fraction form
   380,080/825,872 = 825,872/x
3. Step 3: Cross multiply
   380,080x = 825,872 × 825,872
4. Step 4: Simplify right side
   380,080x = 682,064,560,384
5. Step 5: Solve for x
   x = 682,064,560,384/380,080
6. Step 6: Final answer
   x = 1,794,528.94