Finding the Third Proportional to 350 and 533.38

Step by Step Solution

1. Step 1: Write the proportion equation
   350 : 533.38 = 533.38 : x
2. Step 2: Convert to fraction form
   350/533.38 = 533.38/x
3. Step 3: Cross multiply
   350x = 533.38 × 533.38
4. Step 4: Simplify right side
   350x = 284,488.89
5. Step 5: Solve for x
   x = 284,488.89/350
6. Step 6: Final answer
   x = 812.83