Finding the Third Proportional to 88.17 and 137.32

Step by Step Solution

1. Step 1: Write the proportion equation
   88.17 : 137.32 = 137.32 : x
2. Step 2: Convert to fraction form
   88.17/137.32 = 137.32/x
3. Step 3: Cross multiply
   88.17x = 137.32 × 137.32
4. Step 4: Simplify right side
   88.17x = 18,856.87
5. Step 5: Solve for x
   x = 18,856.87/88.17
6. Step 6: Final answer
   x = 213.86