Finding the Third Proportional to 105,072 and 225,696

Step by Step Solution

1. Step 1: Write the proportion equation
   105,072 : 225,696 = 225,696 : x
2. Step 2: Convert to fraction form
   105,072/225,696 = 225,696/x
3. Step 3: Cross multiply
   105,072x = 225,696 × 225,696
4. Step 4: Simplify right side
   105,072x = 50,938,684,416
5. Step 5: Solve for x
   x = 50,938,684,416/105,072
6. Step 6: Final answer
   x = 484,797.89