Finding the Third Proportional to 64,978 and 144,036

Step by Step Solution

1. Step 1: Write the proportion equation
   64,978 : 144,036 = 144,036 : x
2. Step 2: Convert to fraction form
   64,978/144,036 = 144,036/x
3. Step 3: Cross multiply
   64,978x = 144,036 × 144,036
4. Step 4: Simplify right side
   64,978x = 20,746,369,296
5. Step 5: Solve for x
   x = 20,746,369,296/64,978
6. Step 6: Final answer
   x = 319,282.98