Finding the Third Proportional to 132,170 and 188,413

Step by Step Solution

1. Step 1: Write the proportion equation
   132,170 : 188,413 = 188,413 : x
2. Step 2: Convert to fraction form
   132,170/188,413 = 188,413/x
3. Step 3: Cross multiply
   132,170x = 188,413 × 188,413
4. Step 4: Simplify right side
   132,170x = 35,499,458,569
5. Step 5: Solve for x
   x = 35,499,458,569/132,170
6. Step 6: Final answer
   x = 268,589.38