Finding the Third Proportional to 132,120 and 188,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,120 : 188,257.50 = 188,257.50 : x
2. Step 2: Convert to fraction form
   132,120/188,257.50 = 188,257.50/x
3. Step 3: Cross multiply
   132,120x = 188,257.50 × 188,257.50
4. Step 4: Simplify right side
   132,120x = 35,440,886,306.25
5. Step 5: Solve for x
   x = 35,440,886,306.25/132,120
6. Step 6: Final answer
   x = 268,247.70