Finding the Third Proportional to 47,845 and 111,752

Step by Step Solution

1. Step 1: Write the proportion equation
   47,845 : 111,752 = 111,752 : x
2. Step 2: Convert to fraction form
   47,845/111,752 = 111,752/x
3. Step 3: Cross multiply
   47,845x = 111,752 × 111,752
4. Step 4: Simplify right side
   47,845x = 12,488,509,504
5. Step 5: Solve for x
   x = 12,488,509,504/47,845
6. Step 6: Final answer
   x = 261,020.16