Finding the Third Proportional to 140,744 and 206,500

Step by Step Solution

1. Step 1: Write the proportion equation
   140,744 : 206,500 = 206,500 : x
2. Step 2: Convert to fraction form
   140,744/206,500 = 206,500/x
3. Step 3: Cross multiply
   140,744x = 206,500 × 206,500
4. Step 4: Simplify right side
   140,744x = 42,642,250,000
5. Step 5: Solve for x
   x = 42,642,250,000/140,744
6. Step 6: Final answer
   x = 302,977.39