Finding the Third Proportional to 47,180 and 111,218

Step by Step Solution

1. Step 1: Write the proportion equation
   47,180 : 111,218 = 111,218 : x
2. Step 2: Convert to fraction form
   47,180/111,218 = 111,218/x
3. Step 3: Cross multiply
   47,180x = 111,218 × 111,218
4. Step 4: Simplify right side
   47,180x = 12,369,443,524
5. Step 5: Solve for x
   x = 12,369,443,524/47,180
6. Step 6: Final answer
   x = 262,175.57