Finding the Third Proportional to 140,532 and 205,540

Step by Step Solution

1. Step 1: Write the proportion equation
   140,532 : 205,540 = 205,540 : x
2. Step 2: Convert to fraction form
   140,532/205,540 = 205,540/x
3. Step 3: Cross multiply
   140,532x = 205,540 × 205,540
4. Step 4: Simplify right side
   140,532x = 42,246,691,600
5. Step 5: Solve for x
   x = 42,246,691,600/140,532
6. Step 6: Final answer
   x = 300,619.73