Finding the Third Proportional to 89.25 and 194.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89.25 : 194.25 = 194.25 : x
2. Step 2: Convert to fraction form
   89.25/194.25 = 194.25/x
3. Step 3: Cross multiply
   89.25x = 194.25 × 194.25
4. Step 4: Simplify right side
   89.25x = 37,733.06
5. Step 5: Solve for x
   x = 37,733.06/89.25
6. Step 6: Final answer
   x = 422.78