Finding the Third Proportional to 89.70 and 193.73

Step by Step Solution

1. Step 1: Write the proportion equation
   89.70 : 193.73 = 193.73 : x
2. Step 2: Convert to fraction form
   89.70/193.73 = 193.73/x
3. Step 3: Cross multiply
   89.70x = 193.73 × 193.73
4. Step 4: Simplify right side
   89.70x = 37,533.01
5. Step 5: Solve for x
   x = 37,533.01/89.70
6. Step 6: Final answer
   x = 418.45