Finding the Third Proportional to 105,564 and 228,744

Step by Step Solution

1. Step 1: Write the proportion equation
   105,564 : 228,744 = 228,744 : x
2. Step 2: Convert to fraction form
   105,564/228,744 = 228,744/x
3. Step 3: Cross multiply
   105,564x = 228,744 × 228,744
4. Step 4: Simplify right side
   105,564x = 52,323,817,536
5. Step 5: Solve for x
   x = 52,323,817,536/105,564
6. Step 6: Final answer
   x = 495,659.67