Finding the Third Proportional to 132,648 and 205,698

Step by Step Solution

1. Step 1: Write the proportion equation
   132,648 : 205,698 = 205,698 : x
2. Step 2: Convert to fraction form
   132,648/205,698 = 205,698/x
3. Step 3: Cross multiply
   132,648x = 205,698 × 205,698
4. Step 4: Simplify right side
   132,648x = 42,311,667,204
5. Step 5: Solve for x
   x = 42,311,667,204/132,648
6. Step 6: Final answer
   x = 318,977.05