Finding the Third Proportional to 293.70 and 410.59

Step by Step Solution

1. Step 1: Write the proportion equation
   293.70 : 410.59 = 410.59 : x
2. Step 2: Convert to fraction form
   293.70/410.59 = 410.59/x
3. Step 3: Cross multiply
   293.70x = 410.59 × 410.59
4. Step 4: Simplify right side
   293.70x = 168,584.02
5. Step 5: Solve for x
   x = 168,584.02/293.70
6. Step 6: Final answer
   x = 574.01