Finding the Third Proportional to 83.37 and 127.20

Step by Step Solution

1. Step 1: Write the proportion equation
   83.37 : 127.20 = 127.20 : x
2. Step 2: Convert to fraction form
   83.37/127.20 = 127.20/x
3. Step 3: Cross multiply
   83.37x = 127.20 × 127.20
4. Step 4: Simplify right side
   83.37x = 16,178.65
5. Step 5: Solve for x
   x = 16,178.65/83.37
6. Step 6: Final answer
   x = 194.05