Finding the Third Proportional to 47,854.50 and 111,771

Step by Step Solution

1. Step 1: Write the proportion equation
   47,854.50 : 111,771 = 111,771 : x
2. Step 2: Convert to fraction form
   47,854.50/111,771 = 111,771/x
3. Step 3: Cross multiply
   47,854.50x = 111,771 × 111,771
4. Step 4: Simplify right side
   47,854.50x = 12,492,756,441
5. Step 5: Solve for x
   x = 12,492,756,441/47,854.50
6. Step 6: Final answer
   x = 261,057.09