Finding the Third Proportional to 105,433 and 223,092

Step by Step Solution

1. Step 1: Write the proportion equation
   105,433 : 223,092 = 223,092 : x
2. Step 2: Convert to fraction form
   105,433/223,092 = 223,092/x
3. Step 3: Cross multiply
   105,433x = 223,092 × 223,092
4. Step 4: Simplify right side
   105,433x = 49,770,040,464
5. Step 5: Solve for x
   x = 49,770,040,464/105,433
6. Step 6: Final answer
   x = 472,053.73