Finding the Third Proportional to 164.89 and 248.61

Step by Step Solution

1. Step 1: Write the proportion equation
   164.89 : 248.61 = 248.61 : x
2. Step 2: Convert to fraction form
   164.89/248.61 = 248.61/x
3. Step 3: Cross multiply
   164.89x = 248.61 × 248.61
4. Step 4: Simplify right side
   164.89x = 61,806.62
5. Step 5: Solve for x
   x = 61,806.62/164.89
6. Step 6: Final answer
   x = 374.83