Finding the Third Proportional to 186.50 and 333.25

Step by Step Solution

1. Step 1: Write the proportion equation
   186.50 : 333.25 = 333.25 : x
2. Step 2: Convert to fraction form
   186.50/333.25 = 333.25/x
3. Step 3: Cross multiply
   186.50x = 333.25 × 333.25
4. Step 4: Simplify right side
   186.50x = 111,055.56
5. Step 5: Solve for x
   x = 111,055.56/186.50
6. Step 6: Final answer
   x = 595.47