Finding the Third Proportional to 89.50 and 194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 194.50 = 194.50 : x
2. Step 2: Convert to fraction form
   89.50/194.50 = 194.50/x
3. Step 3: Cross multiply
   89.50x = 194.50 × 194.50
4. Step 4: Simplify right side
   89.50x = 37,830.25
5. Step 5: Solve for x
   x = 37,830.25/89.50
6. Step 6: Final answer
   x = 422.68