Finding the Third Proportional to 78.25 and 200.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78.25 : 200.38 = 200.38 : x
2. Step 2: Convert to fraction form
   78.25/200.38 = 200.38/x
3. Step 3: Cross multiply
   78.25x = 200.38 × 200.38
4. Step 4: Simplify right side
   78.25x = 40,150.14
5. Step 5: Solve for x
   x = 40,150.14/78.25
6. Step 6: Final answer
   x = 513.10