Finding the Third Proportional to 78.38 and 170.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.38 : 170.25 = 170.25 : x
2. Step 2: Convert to fraction form
   78.38/170.25 = 170.25/x
3. Step 3: Cross multiply
   78.38x = 170.25 × 170.25
4. Step 4: Simplify right side
   78.38x = 28,985.06
5. Step 5: Solve for x
   x = 28,985.06/78.38
6. Step 6: Final answer
   x = 369.83