Finding the Third Proportional to 140,752 and 206,512

Step by Step Solution

1. Step 1: Write the proportion equation
   140,752 : 206,512 = 206,512 : x
2. Step 2: Convert to fraction form
   140,752/206,512 = 206,512/x
3. Step 3: Cross multiply
   140,752x = 206,512 × 206,512
4. Step 4: Simplify right side
   140,752x = 42,647,206,144
5. Step 5: Solve for x
   x = 42,647,206,144/140,752
6. Step 6: Final answer
   x = 302,995.38