Finding the Third Proportional to 89.72 and 194.34

Step by Step Solution

1. Step 1: Write the proportion equation
   89.72 : 194.34 = 194.34 : x
2. Step 2: Convert to fraction form
   89.72/194.34 = 194.34/x
3. Step 3: Cross multiply
   89.72x = 194.34 × 194.34
4. Step 4: Simplify right side
   89.72x = 37,769.49
5. Step 5: Solve for x
   x = 37,769.49/89.72
6. Step 6: Final answer
   x = 420.98