Finding the Third Proportional to 127.41 and 191.53

Step by Step Solution

1. Step 1: Write the proportion equation
   127.41 : 191.53 = 191.53 : x
2. Step 2: Convert to fraction form
   127.41/191.53 = 191.53/x
3. Step 3: Cross multiply
   127.41x = 191.53 × 191.53
4. Step 4: Simplify right side
   127.41x = 36,684.22
5. Step 5: Solve for x
   x = 36,684.22/127.41
6. Step 6: Final answer
   x = 287.93