Finding the Third Proportional to 223.25 and 393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223.25 : 393.50 = 393.50 : x
2. Step 2: Convert to fraction form
   223.25/393.50 = 393.50/x
3. Step 3: Cross multiply
   223.25x = 393.50 × 393.50
4. Step 4: Simplify right side
   223.25x = 154,842.25
5. Step 5: Solve for x
   x = 154,842.25/223.25
6. Step 6: Final answer
   x = 693.58