Finding the Third Proportional to 411.31 and 565.47

Step by Step Solution

1. Step 1: Write the proportion equation
   411.31 : 565.47 = 565.47 : x
2. Step 2: Convert to fraction form
   411.31/565.47 = 565.47/x
3. Step 3: Cross multiply
   411.31x = 565.47 × 565.47
4. Step 4: Simplify right side
   411.31x = 319,754.91
5. Step 5: Solve for x
   x = 319,754.91/411.31
6. Step 6: Final answer
   x = 777.40