Finding the Third Proportional to 89.56 and 187.56

Step by Step Solution

1. Step 1: Write the proportion equation
   89.56 : 187.56 = 187.56 : x
2. Step 2: Convert to fraction form
   89.56/187.56 = 187.56/x
3. Step 3: Cross multiply
   89.56x = 187.56 × 187.56
4. Step 4: Simplify right side
   89.56x = 35,179.69
5. Step 5: Solve for x
   x = 35,179.69/89.56
6. Step 6: Final answer
   x = 392.79