Finding the Third Proportional to 47,751.75 and 111,498.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,751.75 : 111,498.75 = 111,498.75 : x
2. Step 2: Convert to fraction form
   47,751.75/111,498.75 = 111,498.75/x
3. Step 3: Cross multiply
   47,751.75x = 111,498.75 × 111,498.75
4. Step 4: Simplify right side
   47,751.75x = 12,431,971,251.56
5. Step 5: Solve for x
   x = 12,431,971,251.56/47,751.75
6. Step 6: Final answer
   x = 260,345.88