Finding the Third Proportional to 57,768 and 120,096

Step by Step Solution

1. Step 1: Write the proportion equation
   57,768 : 120,096 = 120,096 : x
2. Step 2: Convert to fraction form
   57,768/120,096 = 120,096/x
3. Step 3: Cross multiply
   57,768x = 120,096 × 120,096
4. Step 4: Simplify right side
   57,768x = 14,423,049,216
5. Step 5: Solve for x
   x = 14,423,049,216/57,768
6. Step 6: Final answer
   x = 249,671.95