Finding the Third Proportional to 542.25 and 841.31

Step by Step Solution

1. Step 1: Write the proportion equation
   542.25 : 841.31 = 841.31 : x
2. Step 2: Convert to fraction form
   542.25/841.31 = 841.31/x
3. Step 3: Cross multiply
   542.25x = 841.31 × 841.31
4. Step 4: Simplify right side
   542.25x = 707,806.72
5. Step 5: Solve for x
   x = 707,806.72/542.25
6. Step 6: Final answer
   x = 1,305.31