Finding the Third Proportional to 132,142 and 188,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,142 : 188,371.50 = 188,371.50 : x
2. Step 2: Convert to fraction form
   132,142/188,371.50 = 188,371.50/x
3. Step 3: Cross multiply
   132,142x = 188,371.50 × 188,371.50
4. Step 4: Simplify right side
   132,142x = 35,483,822,012.25
5. Step 5: Solve for x
   x = 35,483,822,012.25/132,142
6. Step 6: Final answer
   x = 268,527.96