Finding the Third Proportional to 105,741 and 228,906

Step by Step Solution

1. Step 1: Write the proportion equation
   105,741 : 228,906 = 228,906 : x
2. Step 2: Convert to fraction form
   105,741/228,906 = 228,906/x
3. Step 3: Cross multiply
   105,741x = 228,906 × 228,906
4. Step 4: Simplify right side
   105,741x = 52,397,956,836
5. Step 5: Solve for x
   x = 52,397,956,836/105,741
6. Step 6: Final answer
   x = 495,531.13