Finding the Third Proportional to 59,638 and 126,386

Step by Step Solution

1. Step 1: Write the proportion equation
   59,638 : 126,386 = 126,386 : x
2. Step 2: Convert to fraction form
   59,638/126,386 = 126,386/x
3. Step 3: Cross multiply
   59,638x = 126,386 × 126,386
4. Step 4: Simplify right side
   59,638x = 15,973,420,996
5. Step 5: Solve for x
   x = 15,973,420,996/59,638
6. Step 6: Final answer
   x = 267,839.65