Finding the Third Proportional to 132,518 and 205,419

Step by Step Solution

1. Step 1: Write the proportion equation
   132,518 : 205,419 = 205,419 : x
2. Step 2: Convert to fraction form
   132,518/205,419 = 205,419/x
3. Step 3: Cross multiply
   132,518x = 205,419 × 205,419
4. Step 4: Simplify right side
   132,518x = 42,196,965,561
5. Step 5: Solve for x
   x = 42,196,965,561/132,518
6. Step 6: Final answer
   x = 318,424.41