Finding the Third Proportional to 541.41 and 766.83

Step by Step Solution

1. Step 1: Write the proportion equation
   541.41 : 766.83 = 766.83 : x
2. Step 2: Convert to fraction form
   541.41/766.83 = 766.83/x
3. Step 3: Cross multiply
   541.41x = 766.83 × 766.83
4. Step 4: Simplify right side
   541.41x = 588,025.37
5. Step 5: Solve for x
   x = 588,025.37/541.41
6. Step 6: Final answer
   x = 1,086.11