Finding the Third Proportional to 71,980 and 152,728

Step by Step Solution

1. Step 1: Write the proportion equation
   71,980 : 152,728 = 152,728 : x
2. Step 2: Convert to fraction form
   71,980/152,728 = 152,728/x
3. Step 3: Cross multiply
   71,980x = 152,728 × 152,728
4. Step 4: Simplify right side
   71,980x = 23,325,841,984
5. Step 5: Solve for x
   x = 23,325,841,984/71,980
6. Step 6: Final answer
   x = 324,060.04