Finding the Third Proportional to 47,896 and 111,868

Step by Step Solution

1. Step 1: Write the proportion equation
   47,896 : 111,868 = 111,868 : x
2. Step 2: Convert to fraction form
   47,896/111,868 = 111,868/x
3. Step 3: Cross multiply
   47,896x = 111,868 × 111,868
4. Step 4: Simplify right side
   47,896x = 12,514,449,424
5. Step 5: Solve for x
   x = 12,514,449,424/47,896
6. Step 6: Final answer
   x = 261,283.81