Finding the Third Proportional to 380,069 and 825,850

Step by Step Solution

1. Step 1: Write the proportion equation
   380,069 : 825,850 = 825,850 : x
2. Step 2: Convert to fraction form
   380,069/825,850 = 825,850/x
3. Step 3: Cross multiply
   380,069x = 825,850 × 825,850
4. Step 4: Simplify right side
   380,069x = 682,028,222,500
5. Step 5: Solve for x
   x = 682,028,222,500/380,069
6. Step 6: Final answer
   x = 1,794,485.27