Finding the Third Proportional to 152.71 and 233.33

Step by Step Solution

1. Step 1: Write the proportion equation
   152.71 : 233.33 = 233.33 : x
2. Step 2: Convert to fraction form
   152.71/233.33 = 233.33/x
3. Step 3: Cross multiply
   152.71x = 233.33 × 233.33
4. Step 4: Simplify right side
   152.71x = 54,442.81
5. Step 5: Solve for x
   x = 54,442.81/152.71
6. Step 6: Final answer
   x = 356.52