Finding the Third Proportional to 165.94 and 348.56

Step by Step Solution

1. Step 1: Write the proportion equation
   165.94 : 348.56 = 348.56 : x
2. Step 2: Convert to fraction form
   165.94/348.56 = 348.56/x
3. Step 3: Cross multiply
   165.94x = 348.56 × 348.56
4. Step 4: Simplify right side
   165.94x = 121,495.82
5. Step 5: Solve for x
   x = 121,495.82/165.94
6. Step 6: Final answer
   x = 732.18