Finding the Third Proportional to 89.81 and 193.92

Step by Step Solution

1. Step 1: Write the proportion equation
   89.81 : 193.92 = 193.92 : x
2. Step 2: Convert to fraction form
   89.81/193.92 = 193.92/x
3. Step 3: Cross multiply
   89.81x = 193.92 × 193.92
4. Step 4: Simplify right side
   89.81x = 37,605.69
5. Step 5: Solve for x
   x = 37,605.69/89.81
6. Step 6: Final answer
   x = 418.71