Finding the Third Proportional to 105,890 and 209,092

Step by Step Solution

1. Step 1: Write the proportion equation
   105,890 : 209,092 = 209,092 : x
2. Step 2: Convert to fraction form
   105,890/209,092 = 209,092/x
3. Step 3: Cross multiply
   105,890x = 209,092 × 209,092
4. Step 4: Simplify right side
   105,890x = 43,719,464,464
5. Step 5: Solve for x
   x = 43,719,464,464/105,890
6. Step 6: Final answer
   x = 412,876.23