Finding the Third Proportional to 49,872 and 109,281

Step by Step Solution

1. Step 1: Write the proportion equation
   49,872 : 109,281 = 109,281 : x
2. Step 2: Convert to fraction form
   49,872/109,281 = 109,281/x
3. Step 3: Cross multiply
   49,872x = 109,281 × 109,281
4. Step 4: Simplify right side
   49,872x = 11,942,336,961
5. Step 5: Solve for x
   x = 11,942,336,961/49,872
6. Step 6: Final answer
   x = 239,459.76