Finding the Third Proportional to 47,848 and 111,760

Step by Step Solution

1. Step 1: Write the proportion equation
   47,848 : 111,760 = 111,760 : x
2. Step 2: Convert to fraction form
   47,848/111,760 = 111,760/x
3. Step 3: Cross multiply
   47,848x = 111,760 × 111,760
4. Step 4: Simplify right side
   47,848x = 12,490,297,600
5. Step 5: Solve for x
   x = 12,490,297,600/47,848
6. Step 6: Final answer
   x = 261,041.16