Finding the Third Proportional to 95,800 and 223,756

Step by Step Solution

1. Step 1: Write the proportion equation
   95,800 : 223,756 = 223,756 : x
2. Step 2: Convert to fraction form
   95,800/223,756 = 223,756/x
3. Step 3: Cross multiply
   95,800x = 223,756 × 223,756
4. Step 4: Simplify right side
   95,800x = 50,066,747,536
5. Step 5: Solve for x
   x = 50,066,747,536/95,800
6. Step 6: Final answer
   x = 522,617.41