Finding the Third Proportional to 380,080 and 825,870

Step by Step Solution

1. Step 1: Write the proportion equation
   380,080 : 825,870 = 825,870 : x
2. Step 2: Convert to fraction form
   380,080/825,870 = 825,870/x
3. Step 3: Cross multiply
   380,080x = 825,870 × 825,870
4. Step 4: Simplify right side
   380,080x = 682,061,256,900
5. Step 5: Solve for x
   x = 682,061,256,900/380,080
6. Step 6: Final answer
   x = 1,794,520.25