Finding the Third Proportional to 90.58 and 194.82

Step by Step Solution

1. Step 1: Write the proportion equation
   90.58 : 194.82 = 194.82 : x
2. Step 2: Convert to fraction form
   90.58/194.82 = 194.82/x
3. Step 3: Cross multiply
   90.58x = 194.82 × 194.82
4. Step 4: Simplify right side
   90.58x = 37,954.19
5. Step 5: Solve for x
   x = 37,954.19/90.58
6. Step 6: Final answer
   x = 419.01