Finding the Third Proportional to 429.50 and 585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   429.50 : 585.50 = 585.50 : x
2. Step 2: Convert to fraction form
   429.50/585.50 = 585.50/x
3. Step 3: Cross multiply
   429.50x = 585.50 × 585.50
4. Step 4: Simplify right side
   429.50x = 342,810.25
5. Step 5: Solve for x
   x = 342,810.25/429.50
6. Step 6: Final answer
   x = 798.16