Finding the Third Proportional to 380,804 and 827,162

Step by Step Solution

1. Step 1: Write the proportion equation
   380,804 : 827,162 = 827,162 : x
2. Step 2: Convert to fraction form
   380,804/827,162 = 827,162/x
3. Step 3: Cross multiply
   380,804x = 827,162 × 827,162
4. Step 4: Simplify right side
   380,804x = 684,196,974,244
5. Step 5: Solve for x
   x = 684,196,974,244/380,804
6. Step 6: Final answer
   x = 1,796,716.88