Finding the Third Proportional to 218.50 and 423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   218.50 : 423.50 = 423.50 : x
2. Step 2: Convert to fraction form
   218.50/423.50 = 423.50/x
3. Step 3: Cross multiply
   218.50x = 423.50 × 423.50
4. Step 4: Simplify right side
   218.50x = 179,352.25
5. Step 5: Solve for x
   x = 179,352.25/218.50
6. Step 6: Final answer
   x = 820.83