Finding the Third Proportional to 60,748 and 128,096

Step by Step Solution

1. Step 1: Write the proportion equation
   60,748 : 128,096 = 128,096 : x
2. Step 2: Convert to fraction form
   60,748/128,096 = 128,096/x
3. Step 3: Cross multiply
   60,748x = 128,096 × 128,096
4. Step 4: Simplify right side
   60,748x = 16,408,585,216
5. Step 5: Solve for x
   x = 16,408,585,216/60,748
6. Step 6: Final answer
   x = 270,109.06