Finding the Third Proportional to 164.85 and 231.86

Step by Step Solution

1. Step 1: Write the proportion equation
   164.85 : 231.86 = 231.86 : x
2. Step 2: Convert to fraction form
   164.85/231.86 = 231.86/x
3. Step 3: Cross multiply
   164.85x = 231.86 × 231.86
4. Step 4: Simplify right side
   164.85x = 53,756.96
5. Step 5: Solve for x
   x = 53,756.96/164.85
6. Step 6: Final answer
   x = 326.10