Finding the Third Proportional to 143,978 and 214,467

Step by Step Solution

1. Step 1: Write the proportion equation
   143,978 : 214,467 = 214,467 : x
2. Step 2: Convert to fraction form
   143,978/214,467 = 214,467/x
3. Step 3: Cross multiply
   143,978x = 214,467 × 214,467
4. Step 4: Simplify right side
   143,978x = 45,996,094,089
5. Step 5: Solve for x
   x = 45,996,094,089/143,978
6. Step 6: Final answer
   x = 319,466.13