Finding the Third Proportional to 132,167.50 and 188,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,167.50 : 188,409.50 = 188,409.50 : x
2. Step 2: Convert to fraction form
   132,167.50/188,409.50 = 188,409.50/x
3. Step 3: Cross multiply
   132,167.50x = 188,409.50 × 188,409.50
4. Step 4: Simplify right side
   132,167.50x = 35,498,139,690.25
5. Step 5: Solve for x
   x = 35,498,139,690.25/132,167.50
6. Step 6: Final answer
   x = 268,584.48