Finding the Third Proportional to 85.22 and 127.83

Step by Step Solution

1. Step 1: Write the proportion equation
   85.22 : 127.83 = 127.83 : x
2. Step 2: Convert to fraction form
   85.22/127.83 = 127.83/x
3. Step 3: Cross multiply
   85.22x = 127.83 × 127.83
4. Step 4: Simplify right side
   85.22x = 16,340.03
5. Step 5: Solve for x
   x = 16,340.03/85.22
6. Step 6: Final answer
   x = 191.74