Finding the Third Proportional to 105,566 and 228,748

Step by Step Solution

1. Step 1: Write the proportion equation
   105,566 : 228,748 = 228,748 : x
2. Step 2: Convert to fraction form
   105,566/228,748 = 228,748/x
3. Step 3: Cross multiply
   105,566x = 228,748 × 228,748
4. Step 4: Simplify right side
   105,566x = 52,325,647,504
5. Step 5: Solve for x
   x = 52,325,647,504/105,566
6. Step 6: Final answer
   x = 495,667.62