Finding the Third Proportional to 146,978 and 318,372

Step by Step Solution

1. Step 1: Write the proportion equation
   146,978 : 318,372 = 318,372 : x
2. Step 2: Convert to fraction form
   146,978/318,372 = 318,372/x
3. Step 3: Cross multiply
   146,978x = 318,372 × 318,372
4. Step 4: Simplify right side
   146,978x = 101,360,730,384
5. Step 5: Solve for x
   x = 101,360,730,384/146,978
6. Step 6: Final answer
   x = 689,631.99