Finding the Third Proportional to 47,872 and 111,808

Step by Step Solution

1. Step 1: Write the proportion equation
   47,872 : 111,808 = 111,808 : x
2. Step 2: Convert to fraction form
   47,872/111,808 = 111,808/x
3. Step 3: Cross multiply
   47,872x = 111,808 × 111,808
4. Step 4: Simplify right side
   47,872x = 12,501,028,864
5. Step 5: Solve for x
   x = 12,501,028,864/47,872
6. Step 6: Final answer
   x = 261,134.46