Finding the Third Proportional to 88,072 and 132,832

Step by Step Solution

1. Step 1: Write the proportion equation
   88,072 : 132,832 = 132,832 : x
2. Step 2: Convert to fraction form
   88,072/132,832 = 132,832/x
3. Step 3: Cross multiply
   88,072x = 132,832 × 132,832
4. Step 4: Simplify right side
   88,072x = 17,644,340,224
5. Step 5: Solve for x
   x = 17,644,340,224/88,072
6. Step 6: Final answer
   x = 200,339.95