Finding the Third Proportional to 140,978 and 328,960

Step by Step Solution

1. Step 1: Write the proportion equation
   140,978 : 328,960 = 328,960 : x
2. Step 2: Convert to fraction form
   140,978/328,960 = 328,960/x
3. Step 3: Cross multiply
   140,978x = 328,960 × 328,960
4. Step 4: Simplify right side
   140,978x = 108,214,681,600
5. Step 5: Solve for x
   x = 108,214,681,600/140,978
6. Step 6: Final answer
   x = 767,599.78