Finding the Third Proportional to 146,978 and 219,892

Step by Step Solution

1. Step 1: Write the proportion equation
   146,978 : 219,892 = 219,892 : x
2. Step 2: Convert to fraction form
   146,978/219,892 = 219,892/x
3. Step 3: Cross multiply
   146,978x = 219,892 × 219,892
4. Step 4: Simplify right side
   146,978x = 48,352,491,664
5. Step 5: Solve for x
   x = 48,352,491,664/146,978
6. Step 6: Final answer
   x = 328,977.75