Finding the Third Proportional to 185.50 and 381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185.50 : 381.50 = 381.50 : x
2. Step 2: Convert to fraction form
   185.50/381.50 = 381.50/x
3. Step 3: Cross multiply
   185.50x = 381.50 × 381.50
4. Step 4: Simplify right side
   185.50x = 145,542.25
5. Step 5: Solve for x
   x = 145,542.25/185.50
6. Step 6: Final answer
   x = 784.59