Finding the Third Proportional to 47,987 and 111,557

Step by Step Solution

1. Step 1: Write the proportion equation
   47,987 : 111,557 = 111,557 : x
2. Step 2: Convert to fraction form
   47,987/111,557 = 111,557/x
3. Step 3: Cross multiply
   47,987x = 111,557 × 111,557
4. Step 4: Simplify right side
   47,987x = 12,444,964,249
5. Step 5: Solve for x
   x = 12,444,964,249/47,987
6. Step 6: Final answer
   x = 259,340.33