Finding the Third Proportional to 72.50 and 166.38

Step by Step Solution

1. Step 1: Write the proportion equation
   72.50 : 166.38 = 166.38 : x
2. Step 2: Convert to fraction form
   72.50/166.38 = 166.38/x
3. Step 3: Cross multiply
   72.50x = 166.38 × 166.38
4. Step 4: Simplify right side
   72.50x = 27,680.64
5. Step 5: Solve for x
   x = 27,680.64/72.50
6. Step 6: Final answer
   x = 381.80