Finding the Third Proportional to 165.94 and 265.57

Step by Step Solution

1. Step 1: Write the proportion equation
   165.94 : 265.57 = 265.57 : x
2. Step 2: Convert to fraction form
   165.94/265.57 = 265.57/x
3. Step 3: Cross multiply
   165.94x = 265.57 × 265.57
4. Step 4: Simplify right side
   165.94x = 70,527.59
5. Step 5: Solve for x
   x = 70,527.59/165.94
6. Step 6: Final answer
   x = 425.03