Finding the Third Proportional to 51,853.50 and 111,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,853.50 : 111,589.50 = 111,589.50 : x
2. Step 2: Convert to fraction form
   51,853.50/111,589.50 = 111,589.50/x
3. Step 3: Cross multiply
   51,853.50x = 111,589.50 × 111,589.50
4. Step 4: Simplify right side
   51,853.50x = 12,452,216,510.25
5. Step 5: Solve for x
   x = 12,452,216,510.25/51,853.50
6. Step 6: Final answer
   x = 240,142.26