Finding the Third Proportional to 140,357 and 215,741

Step by Step Solution

1. Step 1: Write the proportion equation
   140,357 : 215,741 = 215,741 : x
2. Step 2: Convert to fraction form
   140,357/215,741 = 215,741/x
3. Step 3: Cross multiply
   140,357x = 215,741 × 215,741
4. Step 4: Simplify right side
   140,357x = 46,544,179,081
5. Step 5: Solve for x
   x = 46,544,179,081/140,357
6. Step 6: Final answer
   x = 331,612.81