Finding the Third Proportional to 105,208 and 226,456

Step by Step Solution

1. Step 1: Write the proportion equation
   105,208 : 226,456 = 226,456 : x
2. Step 2: Convert to fraction form
   105,208/226,456 = 226,456/x
3. Step 3: Cross multiply
   105,208x = 226,456 × 226,456
4. Step 4: Simplify right side
   105,208x = 51,282,319,936
5. Step 5: Solve for x
   x = 51,282,319,936/105,208
6. Step 6: Final answer
   x = 487,437.46