Finding the Third Proportional to 89.86 and 194.91

Step by Step Solution

1. Step 1: Write the proportion equation
   89.86 : 194.91 = 194.91 : x
2. Step 2: Convert to fraction form
   89.86/194.91 = 194.91/x
3. Step 3: Cross multiply
   89.86x = 194.91 × 194.91
4. Step 4: Simplify right side
   89.86x = 37,988.45
5. Step 5: Solve for x
   x = 37,988.45/89.86
6. Step 6: Final answer
   x = 422.75