Finding the Third Proportional to 89.63 and 193.88

Step by Step Solution

1. Step 1: Write the proportion equation
   89.63 : 193.88 = 193.88 : x
2. Step 2: Convert to fraction form
   89.63/193.88 = 193.88/x
3. Step 3: Cross multiply
   89.63x = 193.88 × 193.88
4. Step 4: Simplify right side
   89.63x = 37,587.52
5. Step 5: Solve for x
   x = 37,587.52/89.63
6. Step 6: Final answer
   x = 419.39