Finding the Third Proportional to 102,886 and 225,468

Step by Step Solution

1. Step 1: Write the proportion equation
   102,886 : 225,468 = 225,468 : x
2. Step 2: Convert to fraction form
   102,886/225,468 = 225,468/x
3. Step 3: Cross multiply
   102,886x = 225,468 × 225,468
4. Step 4: Simplify right side
   102,886x = 50,835,819,024
5. Step 5: Solve for x
   x = 50,835,819,024/102,886
6. Step 6: Final answer
   x = 494,098.51