Finding the Third Proportional to 105,528 and 227,184

Step by Step Solution

1. Step 1: Write the proportion equation
   105,528 : 227,184 = 227,184 : x
2. Step 2: Convert to fraction form
   105,528/227,184 = 227,184/x
3. Step 3: Cross multiply
   105,528x = 227,184 × 227,184
4. Step 4: Simplify right side
   105,528x = 51,612,569,856
5. Step 5: Solve for x
   x = 51,612,569,856/105,528
6. Step 6: Final answer
   x = 489,088.87