Finding the Third Proportional to 152.30 and 339.33

Step by Step Solution

1. Step 1: Write the proportion equation
   152.30 : 339.33 = 339.33 : x
2. Step 2: Convert to fraction form
   152.30/339.33 = 339.33/x
3. Step 3: Cross multiply
   152.30x = 339.33 × 339.33
4. Step 4: Simplify right side
   152.30x = 115,143.58
5. Step 5: Solve for x
   x = 115,143.58/152.30
6. Step 6: Final answer
   x = 756.05