Finding the Third Proportional to 127.50 and 190.94

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 190.94 = 190.94 : x
2. Step 2: Convert to fraction form
   127.50/190.94 = 190.94/x
3. Step 3: Cross multiply
   127.50x = 190.94 × 190.94
4. Step 4: Simplify right side
   127.50x = 36,457.13
5. Step 5: Solve for x
   x = 36,457.13/127.50
6. Step 6: Final answer
   x = 285.94