Finding the Third Proportional to 429.50 and 593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   429.50 : 593.50 = 593.50 : x
2. Step 2: Convert to fraction form
   429.50/593.50 = 593.50/x
3. Step 3: Cross multiply
   429.50x = 593.50 × 593.50
4. Step 4: Simplify right side
   429.50x = 352,242.25
5. Step 5: Solve for x
   x = 352,242.25/429.50
6. Step 6: Final answer
   x = 820.12