Finding the Third Proportional to 95,792 and 223,736

Step by Step Solution

1. Step 1: Write the proportion equation
   95,792 : 223,736 = 223,736 : x
2. Step 2: Convert to fraction form
   95,792/223,736 = 223,736/x
3. Step 3: Cross multiply
   95,792x = 223,736 × 223,736
4. Step 4: Simplify right side
   95,792x = 50,057,797,696
5. Step 5: Solve for x
   x = 50,057,797,696/95,792
6. Step 6: Final answer
   x = 522,567.62