Finding the Third Proportional to 140,512 and 205,504

Step by Step Solution

1. Step 1: Write the proportion equation
   140,512 : 205,504 = 205,504 : x
2. Step 2: Convert to fraction form
   140,512/205,504 = 205,504/x
3. Step 3: Cross multiply
   140,512x = 205,504 × 205,504
4. Step 4: Simplify right side
   140,512x = 42,231,894,016
5. Step 5: Solve for x
   x = 42,231,894,016/140,512
6. Step 6: Final answer
   x = 300,557.21