Finding the Third Proportional to 146,978 and 220,665

Step by Step Solution

1. Step 1: Write the proportion equation
   146,978 : 220,665 = 220,665 : x
2. Step 2: Convert to fraction form
   146,978/220,665 = 220,665/x
3. Step 3: Cross multiply
   146,978x = 220,665 × 220,665
4. Step 4: Simplify right side
   146,978x = 48,693,042,225
5. Step 5: Solve for x
   x = 48,693,042,225/146,978
6. Step 6: Final answer
   x = 331,294.77