Finding the Third Proportional to 72,096 and 154,596

Step by Step Solution

1. Step 1: Write the proportion equation
   72,096 : 154,596 = 154,596 : x
2. Step 2: Convert to fraction form
   72,096/154,596 = 154,596/x
3. Step 3: Cross multiply
   72,096x = 154,596 × 154,596
4. Step 4: Simplify right side
   72,096x = 23,899,923,216
5. Step 5: Solve for x
   x = 23,899,923,216/72,096
6. Step 6: Final answer
   x = 331,501.38