Finding the Third Proportional to 131,426 and 205,901

Step by Step Solution

1. Step 1: Write the proportion equation
   131,426 : 205,901 = 205,901 : x
2. Step 2: Convert to fraction form
   131,426/205,901 = 205,901/x
3. Step 3: Cross multiply
   131,426x = 205,901 × 205,901
4. Step 4: Simplify right side
   131,426x = 42,395,221,801
5. Step 5: Solve for x
   x = 42,395,221,801/131,426
6. Step 6: Final answer
   x = 322,578.65