Finding the Third Proportional to 200.50 and 380.53

Step by Step Solution

1. Step 1: Write the proportion equation
   200.50 : 380.53 = 380.53 : x
2. Step 2: Convert to fraction form
   200.50/380.53 = 380.53/x
3. Step 3: Cross multiply
   200.50x = 380.53 × 380.53
4. Step 4: Simplify right side
   200.50x = 144,804.03
5. Step 5: Solve for x
   x = 144,804.03/200.50
6. Step 6: Final answer
   x = 722.23