Finding the Third Proportional to 75.59 and 165.59

Step by Step Solution

1. Step 1: Write the proportion equation
   75.59 : 165.59 = 165.59 : x
2. Step 2: Convert to fraction form
   75.59/165.59 = 165.59/x
3. Step 3: Cross multiply
   75.59x = 165.59 × 165.59
4. Step 4: Simplify right side
   75.59x = 27,419.79
5. Step 5: Solve for x
   x = 27,419.79/75.59
6. Step 6: Final answer
   x = 362.74