Finding the Third Proportional to 90,343 and 140,519

Step by Step Solution

1. Step 1: Write the proportion equation
   90,343 : 140,519 = 140,519 : x
2. Step 2: Convert to fraction form
   90,343/140,519 = 140,519/x
3. Step 3: Cross multiply
   90,343x = 140,519 × 140,519
4. Step 4: Simplify right side
   90,343x = 19,745,589,361
5. Step 5: Solve for x
   x = 19,745,589,361/90,343
6. Step 6: Final answer
   x = 218,562.47