Finding the Third Proportional to 105,845 and 228,942

Step by Step Solution

1. Step 1: Write the proportion equation
   105,845 : 228,942 = 228,942 : x
2. Step 2: Convert to fraction form
   105,845/228,942 = 228,942/x
3. Step 3: Cross multiply
   105,845x = 228,942 × 228,942
4. Step 4: Simplify right side
   105,845x = 52,414,439,364
5. Step 5: Solve for x
   x = 52,414,439,364/105,845
6. Step 6: Final answer
   x = 495,199.96