Finding the Third Proportional to 105,230 and 225,264

Step by Step Solution

1. Step 1: Write the proportion equation
   105,230 : 225,264 = 225,264 : x
2. Step 2: Convert to fraction form
   105,230/225,264 = 225,264/x
3. Step 3: Cross multiply
   105,230x = 225,264 × 225,264
4. Step 4: Simplify right side
   105,230x = 50,743,869,696
5. Step 5: Solve for x
   x = 50,743,869,696/105,230
6. Step 6: Final answer
   x = 482,218.66