Finding the Third Proportional to 188.50 and 323.25

Step by Step Solution

1. Step 1: Write the proportion equation
   188.50 : 323.25 = 323.25 : x
2. Step 2: Convert to fraction form
   188.50/323.25 = 323.25/x
3. Step 3: Cross multiply
   188.50x = 323.25 × 323.25
4. Step 4: Simplify right side
   188.50x = 104,490.56
5. Step 5: Solve for x
   x = 104,490.56/188.50
6. Step 6: Final answer
   x = 554.33