Finding the Third Proportional to 108,824 and 227,488

Step by Step Solution

1. Step 1: Write the proportion equation
   108,824 : 227,488 = 227,488 : x
2. Step 2: Convert to fraction form
   108,824/227,488 = 227,488/x
3. Step 3: Cross multiply
   108,824x = 227,488 × 227,488
4. Step 4: Simplify right side
   108,824x = 51,750,790,144
5. Step 5: Solve for x
   x = 51,750,790,144/108,824
6. Step 6: Final answer
   x = 475,545.74