Finding the Third Proportional to 162.66 and 238.59

Step by Step Solution

1. Step 1: Write the proportion equation
   162.66 : 238.59 = 238.59 : x
2. Step 2: Convert to fraction form
   162.66/238.59 = 238.59/x
3. Step 3: Cross multiply
   162.66x = 238.59 × 238.59
4. Step 4: Simplify right side
   162.66x = 56,926.98
5. Step 5: Solve for x
   x = 56,926.98/162.66
6. Step 6: Final answer
   x = 349.98