Finding the Third Proportional to 140,586 and 215,055

Step by Step Solution

1. Step 1: Write the proportion equation
   140,586 : 215,055 = 215,055 : x
2. Step 2: Convert to fraction form
   140,586/215,055 = 215,055/x
3. Step 3: Cross multiply
   140,586x = 215,055 × 215,055
4. Step 4: Simplify right side
   140,586x = 46,248,653,025
5. Step 5: Solve for x
   x = 46,248,653,025/140,586
6. Step 6: Final answer
   x = 328,970.54