Finding the Third Proportional to 89.50 and 193.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 193.63 = 193.63 : x
2. Step 2: Convert to fraction form
   89.50/193.63 = 193.63/x
3. Step 3: Cross multiply
   89.50x = 193.63 × 193.63
4. Step 4: Simplify right side
   89.50x = 37,490.64
5. Step 5: Solve for x
   x = 37,490.64/89.50
6. Step 6: Final answer
   x = 418.89