Finding the Third Proportional to 51,564 and 109,872

Step by Step Solution

1. Step 1: Write the proportion equation
   51,564 : 109,872 = 109,872 : x
2. Step 2: Convert to fraction form
   51,564/109,872 = 109,872/x
3. Step 3: Cross multiply
   51,564x = 109,872 × 109,872
4. Step 4: Simplify right side
   51,564x = 12,071,856,384
5. Step 5: Solve for x
   x = 12,071,856,384/51,564
6. Step 6: Final answer
   x = 234,114.04