Finding the Third Proportional to 89.23 and 137.64

Step by Step Solution

1. Step 1: Write the proportion equation
   89.23 : 137.64 = 137.64 : x
2. Step 2: Convert to fraction form
   89.23/137.64 = 137.64/x
3. Step 3: Cross multiply
   89.23x = 137.64 × 137.64
4. Step 4: Simplify right side
   89.23x = 18,943.87
5. Step 5: Solve for x
   x = 18,943.87/89.23
6. Step 6: Final answer
   x = 212.31