Finding the Third Proportional to 47,848 and 111,758

Step by Step Solution

1. Step 1: Write the proportion equation
   47,848 : 111,758 = 111,758 : x
2. Step 2: Convert to fraction form
   47,848/111,758 = 111,758/x
3. Step 3: Cross multiply
   47,848x = 111,758 × 111,758
4. Step 4: Simplify right side
   47,848x = 12,489,850,564
5. Step 5: Solve for x
   x = 12,489,850,564/47,848
6. Step 6: Final answer
   x = 261,031.82