Finding the Third Proportional to 243.33 and 533.86

Step by Step Solution

1. Step 1: Write the proportion equation
   243.33 : 533.86 = 533.86 : x
2. Step 2: Convert to fraction form
   243.33/533.86 = 533.86/x
3. Step 3: Cross multiply
   243.33x = 533.86 × 533.86
4. Step 4: Simplify right side
   243.33x = 285,005.83
5. Step 5: Solve for x
   x = 285,005.83/243.33
6. Step 6: Final answer
   x = 1,171.28