Finding the Third Proportional to 131,418 and 205,886

Step by Step Solution

1. Step 1: Write the proportion equation
   131,418 : 205,886 = 205,886 : x
2. Step 2: Convert to fraction form
   131,418/205,886 = 205,886/x
3. Step 3: Cross multiply
   131,418x = 205,886 × 205,886
4. Step 4: Simplify right side
   131,418x = 42,389,044,996
5. Step 5: Solve for x
   x = 42,389,044,996/131,418
6. Step 6: Final answer
   x = 322,551.29