Finding the Third Proportional to 131,578 and 200,655

Step by Step Solution

1. Step 1: Write the proportion equation
   131,578 : 200,655 = 200,655 : x
2. Step 2: Convert to fraction form
   131,578/200,655 = 200,655/x
3. Step 3: Cross multiply
   131,578x = 200,655 × 200,655
4. Step 4: Simplify right side
   131,578x = 40,262,429,025
5. Step 5: Solve for x
   x = 40,262,429,025/131,578
6. Step 6: Final answer
   x = 305,996.66