Finding the Third Proportional to 104,856 and 228,144

Step by Step Solution

1. Step 1: Write the proportion equation
   104,856 : 228,144 = 228,144 : x
2. Step 2: Convert to fraction form
   104,856/228,144 = 228,144/x
3. Step 3: Cross multiply
   104,856x = 228,144 × 228,144
4. Step 4: Simplify right side
   104,856x = 52,049,684,736
5. Step 5: Solve for x
   x = 52,049,684,736/104,856
6. Step 6: Final answer
   x = 496,392.05