Finding the Third Proportional to 383.06 and 541.59

Step by Step Solution

1. Step 1: Write the proportion equation
   383.06 : 541.59 = 541.59 : x
2. Step 2: Convert to fraction form
   383.06/541.59 = 541.59/x
3. Step 3: Cross multiply
   383.06x = 541.59 × 541.59
4. Step 4: Simplify right side
   383.06x = 293,323.79
5. Step 5: Solve for x
   x = 293,323.79/383.06
6. Step 6: Final answer
   x = 765.73