Finding the Third Proportional to 131,406 and 205,904

Step by Step Solution

1. Step 1: Write the proportion equation
   131,406 : 205,904 = 205,904 : x
2. Step 2: Convert to fraction form
   131,406/205,904 = 205,904/x
3. Step 3: Cross multiply
   131,406x = 205,904 × 205,904
4. Step 4: Simplify right side
   131,406x = 42,396,457,216
5. Step 5: Solve for x
   x = 42,396,457,216/131,406
6. Step 6: Final answer
   x = 322,637.15