Finding the Third Proportional to 47,736 and 111,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,736 : 111,469.50 = 111,469.50 : x
2. Step 2: Convert to fraction form
   47,736/111,469.50 = 111,469.50/x
3. Step 3: Cross multiply
   47,736x = 111,469.50 × 111,469.50
4. Step 4: Simplify right side
   47,736x = 12,425,449,430.25
5. Step 5: Solve for x
   x = 12,425,449,430.25/47,736
6. Step 6: Final answer
   x = 260,295.15