Finding the Third Proportional to 380,072 and 825,854

Step by Step Solution

1. Step 1: Write the proportion equation
   380,072 : 825,854 = 825,854 : x
2. Step 2: Convert to fraction form
   380,072/825,854 = 825,854/x
3. Step 3: Cross multiply
   380,072x = 825,854 × 825,854
4. Step 4: Simplify right side
   380,072x = 682,034,829,316
5. Step 5: Solve for x
   x = 682,034,829,316/380,072
6. Step 6: Final answer
   x = 1,794,488.49