Finding the Third Proportional to 132,178.50 and 188,426.25

Step by Step Solution

1. Step 1: Write the proportion equation
   132,178.50 : 188,426.25 = 188,426.25 : x
2. Step 2: Convert to fraction form
   132,178.50/188,426.25 = 188,426.25/x
3. Step 3: Cross multiply
   132,178.50x = 188,426.25 × 188,426.25
4. Step 4: Simplify right side
   132,178.50x = 35,504,451,689.06
5. Step 5: Solve for x
   x = 35,504,451,689.06/132,178.50
6. Step 6: Final answer
   x = 268,609.89