Finding the Third Proportional to 146.50 and 194.38

Step by Step Solution

1. Step 1: Write the proportion equation
   146.50 : 194.38 = 194.38 : x
2. Step 2: Convert to fraction form
   146.50/194.38 = 194.38/x
3. Step 3: Cross multiply
   146.50x = 194.38 × 194.38
4. Step 4: Simplify right side
   146.50x = 37,781.64
5. Step 5: Solve for x
   x = 37,781.64/146.50
6. Step 6: Final answer
   x = 257.90