Finding the Third Proportional to 47,982.38 and 111,543.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,982.38 : 111,543.75 = 111,543.75 : x
2. Step 2: Convert to fraction form
   47,982.38/111,543.75 = 111,543.75/x
3. Step 3: Cross multiply
   47,982.38x = 111,543.75 × 111,543.75
4. Step 4: Simplify right side
   47,982.38x = 12,442,008,164.06
5. Step 5: Solve for x
   x = 12,442,008,164.06/47,982.38
6. Step 6: Final answer
   x = 259,303.72