Finding the Third Proportional to 76.69 and 164.34

Step by Step Solution

1. Step 1: Write the proportion equation
   76.69 : 164.34 = 164.34 : x
2. Step 2: Convert to fraction form
   76.69/164.34 = 164.34/x
3. Step 3: Cross multiply
   76.69x = 164.34 × 164.34
4. Step 4: Simplify right side
   76.69x = 27,008.87
5. Step 5: Solve for x
   x = 27,008.87/76.69
6. Step 6: Final answer
   x = 352.19