Finding the Third Proportional to 185.50 and 386.25

Step by Step Solution

1. Step 1: Write the proportion equation
   185.50 : 386.25 = 386.25 : x
2. Step 2: Convert to fraction form
   185.50/386.25 = 386.25/x
3. Step 3: Cross multiply
   185.50x = 386.25 × 386.25
4. Step 4: Simplify right side
   185.50x = 149,189.06
5. Step 5: Solve for x
   x = 149,189.06/185.50
6. Step 6: Final answer
   x = 804.25