Finding the Third Proportional to 132,180 and 188,424

Step by Step Solution

1. Step 1: Write the proportion equation
   132,180 : 188,424 = 188,424 : x
2. Step 2: Convert to fraction form
   132,180/188,424 = 188,424/x
3. Step 3: Cross multiply
   132,180x = 188,424 × 188,424
4. Step 4: Simplify right side
   132,180x = 35,503,603,776
5. Step 5: Solve for x
   x = 35,503,603,776/132,180
6. Step 6: Final answer
   x = 268,600.42