Finding the Third Proportional to 105,012 and 228,456

Step by Step Solution

1. Step 1: Write the proportion equation
   105,012 : 228,456 = 228,456 : x
2. Step 2: Convert to fraction form
   105,012/228,456 = 228,456/x
3. Step 3: Cross multiply
   105,012x = 228,456 × 228,456
4. Step 4: Simplify right side
   105,012x = 52,192,143,936
5. Step 5: Solve for x
   x = 52,192,143,936/105,012
6. Step 6: Final answer
   x = 497,011.24