Finding the Third Proportional to 293.59 and 410.47

Step by Step Solution

1. Step 1: Write the proportion equation
   293.59 : 410.47 = 410.47 : x
2. Step 2: Convert to fraction form
   293.59/410.47 = 410.47/x
3. Step 3: Cross multiply
   293.59x = 410.47 × 410.47
4. Step 4: Simplify right side
   293.59x = 168,484.59
5. Step 5: Solve for x
   x = 168,484.59/293.59
6. Step 6: Final answer
   x = 573.87