Finding the Third Proportional to 131,978 and 212,493

Step by Step Solution

1. Step 1: Write the proportion equation
   131,978 : 212,493 = 212,493 : x
2. Step 2: Convert to fraction form
   131,978/212,493 = 212,493/x
3. Step 3: Cross multiply
   131,978x = 212,493 × 212,493
4. Step 4: Simplify right side
   131,978x = 45,153,275,049
5. Step 5: Solve for x
   x = 45,153,275,049/131,978
6. Step 6: Final answer
   x = 342,127.29