Finding the Third Proportional to 131,434 and 205,910

Step by Step Solution

1. Step 1: Write the proportion equation
   131,434 : 205,910 = 205,910 : x
2. Step 2: Convert to fraction form
   131,434/205,910 = 205,910/x
3. Step 3: Cross multiply
   131,434x = 205,910 × 205,910
4. Step 4: Simplify right side
   131,434x = 42,398,928,100
5. Step 5: Solve for x
   x = 42,398,928,100/131,434
6. Step 6: Final answer
   x = 322,587.22