Finding the Third Proportional to 65,072 and 144,976

Step by Step Solution

1. Step 1: Write the proportion equation
   65,072 : 144,976 = 144,976 : x
2. Step 2: Convert to fraction form
   65,072/144,976 = 144,976/x
3. Step 3: Cross multiply
   65,072x = 144,976 × 144,976
4. Step 4: Simplify right side
   65,072x = 21,018,040,576
5. Step 5: Solve for x
   x = 21,018,040,576/65,072
6. Step 6: Final answer
   x = 322,996.69