Finding the Third Proportional to 412.13 and 541.31

Step by Step Solution

1. Step 1: Write the proportion equation
   412.13 : 541.31 = 541.31 : x
2. Step 2: Convert to fraction form
   412.13/541.31 = 541.31/x
3. Step 3: Cross multiply
   412.13x = 541.31 × 541.31
4. Step 4: Simplify right side
   412.13x = 293,019.22
5. Step 5: Solve for x
   x = 293,019.22/412.13
6. Step 6: Final answer
   x = 711.00