Finding the Third Proportional to 109,872 and 241,128

Step by Step Solution

1. Step 1: Write the proportion equation
   109,872 : 241,128 = 241,128 : x
2. Step 2: Convert to fraction form
   109,872/241,128 = 241,128/x
3. Step 3: Cross multiply
   109,872x = 241,128 × 241,128
4. Step 4: Simplify right side
   109,872x = 58,142,712,384
5. Step 5: Solve for x
   x = 58,142,712,384/109,872
6. Step 6: Final answer
   x = 529,185.89