Finding the Third Proportional to 89.35 and 194.35

Step by Step Solution

1. Step 1: Write the proportion equation
   89.35 : 194.35 = 194.35 : x
2. Step 2: Convert to fraction form
   89.35/194.35 = 194.35/x
3. Step 3: Cross multiply
   89.35x = 194.35 × 194.35
4. Step 4: Simplify right side
   89.35x = 37,772.91
5. Step 5: Solve for x
   x = 37,772.91/89.35
6. Step 6: Final answer
   x = 422.77