Finding the Third Proportional to 51,120 and 109,638

Step by Step Solution

1. Step 1: Write the proportion equation
   51,120 : 109,638 = 109,638 : x
2. Step 2: Convert to fraction form
   51,120/109,638 = 109,638/x
3. Step 3: Cross multiply
   51,120x = 109,638 × 109,638
4. Step 4: Simplify right side
   51,120x = 12,020,491,044
5. Step 5: Solve for x
   x = 12,020,491,044/51,120
6. Step 6: Final answer
   x = 235,142.63