Finding the Third Proportional to 131,404 and 205,900

Step by Step Solution

1. Step 1: Write the proportion equation
   131,404 : 205,900 = 205,900 : x
2. Step 2: Convert to fraction form
   131,404/205,900 = 205,900/x
3. Step 3: Cross multiply
   131,404x = 205,900 × 205,900
4. Step 4: Simplify right side
   131,404x = 42,394,810,000
5. Step 5: Solve for x
   x = 42,394,810,000/131,404
6. Step 6: Final answer
   x = 322,629.52