Finding the Third Proportional to 77,568 and 120,096

Step by Step Solution

1. Step 1: Write the proportion equation
   77,568 : 120,096 = 120,096 : x
2. Step 2: Convert to fraction form
   77,568/120,096 = 120,096/x
3. Step 3: Cross multiply
   77,568x = 120,096 × 120,096
4. Step 4: Simplify right side
   77,568x = 14,423,049,216
5. Step 5: Solve for x
   x = 14,423,049,216/77,568
6. Step 6: Final answer
   x = 185,940.71