Finding the Third Proportional to 89.53 and 194.09

Step by Step Solution

1. Step 1: Write the proportion equation
   89.53 : 194.09 = 194.09 : x
2. Step 2: Convert to fraction form
   89.53/194.09 = 194.09/x
3. Step 3: Cross multiply
   89.53x = 194.09 × 194.09
4. Step 4: Simplify right side
   89.53x = 37,669.35
5. Step 5: Solve for x
   x = 37,669.35/89.53
6. Step 6: Final answer
   x = 420.74