Finding the Third Proportional to 102.38 and 209.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102.38 : 209.25 = 209.25 : x
2. Step 2: Convert to fraction form
   102.38/209.25 = 209.25/x
3. Step 3: Cross multiply
   102.38x = 209.25 × 209.25
4. Step 4: Simplify right side
   102.38x = 43,785.56
5. Step 5: Solve for x
   x = 43,785.56/102.38
6. Step 6: Final answer
   x = 427.70