Finding the Third Proportional to 78.38 and 173.44

Step by Step Solution

1. Step 1: Write the proportion equation
   78.38 : 173.44 = 173.44 : x
2. Step 2: Convert to fraction form
   78.38/173.44 = 173.44/x
3. Step 3: Cross multiply
   78.38x = 173.44 × 173.44
4. Step 4: Simplify right side
   78.38x = 30,080.57
5. Step 5: Solve for x
   x = 30,080.57/78.38
6. Step 6: Final answer
   x = 383.80