Finding the Third Proportional to 90.50 and 194.13

Step by Step Solution

1. Step 1: Write the proportion equation
   90.50 : 194.13 = 194.13 : x
2. Step 2: Convert to fraction form
   90.50/194.13 = 194.13/x
3. Step 3: Cross multiply
   90.50x = 194.13 × 194.13
4. Step 4: Simplify right side
   90.50x = 37,684.52
5. Step 5: Solve for x
   x = 37,684.52/90.50
6. Step 6: Final answer
   x = 416.40