Finding the Third Proportional to 105,892 and 209,096

Step by Step Solution

1. Step 1: Write the proportion equation
   105,892 : 209,096 = 209,096 : x
2. Step 2: Convert to fraction form
   105,892/209,096 = 209,096/x
3. Step 3: Cross multiply
   105,892x = 209,096 × 209,096
4. Step 4: Simplify right side
   105,892x = 43,721,137,216
5. Step 5: Solve for x
   x = 43,721,137,216/105,892
6. Step 6: Final answer
   x = 412,884.23