Finding the Third Proportional to 105,359 and 223,108

Step by Step Solution

1. Step 1: Write the proportion equation
   105,359 : 223,108 = 223,108 : x
2. Step 2: Convert to fraction form
   105,359/223,108 = 223,108/x
3. Step 3: Cross multiply
   105,359x = 223,108 × 223,108
4. Step 4: Simplify right side
   105,359x = 49,777,179,664
5. Step 5: Solve for x
   x = 49,777,179,664/105,359
6. Step 6: Final answer
   x = 472,453.04