Finding the Third Proportional to 102.69 and 238.06

Step by Step Solution

1. Step 1: Write the proportion equation
   102.69 : 238.06 = 238.06 : x
2. Step 2: Convert to fraction form
   102.69/238.06 = 238.06/x
3. Step 3: Cross multiply
   102.69x = 238.06 × 238.06
4. Step 4: Simplify right side
   102.69x = 56,673.75
5. Step 5: Solve for x
   x = 56,673.75/102.69
6. Step 6: Final answer
   x = 551.91