Finding the Third Proportional to 81.90 and 127.83

Step by Step Solution

1. Step 1: Write the proportion equation
   81.90 : 127.83 = 127.83 : x
2. Step 2: Convert to fraction form
   81.90/127.83 = 127.83/x
3. Step 3: Cross multiply
   81.90x = 127.83 × 127.83
4. Step 4: Simplify right side
   81.90x = 16,340.03
5. Step 5: Solve for x
   x = 16,340.03/81.90
6. Step 6: Final answer
   x = 199.52