Finding the Third Proportional to 69,096 and 151,728

Step by Step Solution

1. Step 1: Write the proportion equation
   69,096 : 151,728 = 151,728 : x
2. Step 2: Convert to fraction form
   69,096/151,728 = 151,728/x
3. Step 3: Cross multiply
   69,096x = 151,728 × 151,728
4. Step 4: Simplify right side
   69,096x = 23,021,385,984
5. Step 5: Solve for x
   x = 23,021,385,984/69,096
6. Step 6: Final answer
   x = 333,179.72