Finding the Third Proportional to 380,090 and 825,892

Step by Step Solution

1. Step 1: Write the proportion equation
   380,090 : 825,892 = 825,892 : x
2. Step 2: Convert to fraction form
   380,090/825,892 = 825,892/x
3. Step 3: Cross multiply
   380,090x = 825,892 × 825,892
4. Step 4: Simplify right side
   380,090x = 682,097,595,664
5. Step 5: Solve for x
   x = 682,097,595,664/380,090
6. Step 6: Final answer
   x = 1,794,568.64