Finding the Third Proportional to 190.50 and 382.13

Step by Step Solution

1. Step 1: Write the proportion equation
   190.50 : 382.13 = 382.13 : x
2. Step 2: Convert to fraction form
   190.50/382.13 = 382.13/x
3. Step 3: Cross multiply
   190.50x = 382.13 × 382.13
4. Step 4: Simplify right side
   190.50x = 146,019.52
5. Step 5: Solve for x
   x = 146,019.52/190.50
6. Step 6: Final answer
   x = 766.51