Finding the Third Proportional to 89.50 and 178.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 178.75 = 178.75 : x
2. Step 2: Convert to fraction form
   89.50/178.75 = 178.75/x
3. Step 3: Cross multiply
   89.50x = 178.75 × 178.75
4. Step 4: Simplify right side
   89.50x = 31,951.56
5. Step 5: Solve for x
   x = 31,951.56/89.50
6. Step 6: Final answer
   x = 357.00