Finding the Third Proportional to 105,696 and 228,816

Step by Step Solution

1. Step 1: Write the proportion equation
   105,696 : 228,816 = 228,816 : x
2. Step 2: Convert to fraction form
   105,696/228,816 = 228,816/x
3. Step 3: Cross multiply
   105,696x = 228,816 × 228,816
4. Step 4: Simplify right side
   105,696x = 52,356,761,856
5. Step 5: Solve for x
   x = 52,356,761,856/105,696
6. Step 6: Final answer
   x = 495,352.35