Finding the Third Proportional to 405.94 and 593.72

Step by Step Solution

1. Step 1: Write the proportion equation
   405.94 : 593.72 = 593.72 : x
2. Step 2: Convert to fraction form
   405.94/593.72 = 593.72/x
3. Step 3: Cross multiply
   405.94x = 593.72 × 593.72
4. Step 4: Simplify right side
   405.94x = 352,501.95
5. Step 5: Solve for x
   x = 352,501.95/405.94
6. Step 6: Final answer
   x = 868.37