Finding the Third Proportional to 154.88 and 339.56

Step by Step Solution

1. Step 1: Write the proportion equation
   154.88 : 339.56 = 339.56 : x
2. Step 2: Convert to fraction form
   154.88/339.56 = 339.56/x
3. Step 3: Cross multiply
   154.88x = 339.56 × 339.56
4. Step 4: Simplify right side
   154.88x = 115,302.69
5. Step 5: Solve for x
   x = 115,302.69/154.88
6. Step 6: Final answer
   x = 744.49