Finding the Third Proportional to 49,872 and 109,128

Step by Step Solution

1. Step 1: Write the proportion equation
   49,872 : 109,128 = 109,128 : x
2. Step 2: Convert to fraction form
   49,872/109,128 = 109,128/x
3. Step 3: Cross multiply
   49,872x = 109,128 × 109,128
4. Step 4: Simplify right side
   49,872x = 11,908,920,384
5. Step 5: Solve for x
   x = 11,908,920,384/49,872
6. Step 6: Final answer
   x = 238,789.71