Finding the Third Proportional to 78.38 and 171.94

Step by Step Solution

1. Step 1: Write the proportion equation
   78.38 : 171.94 = 171.94 : x
2. Step 2: Convert to fraction form
   78.38/171.94 = 171.94/x
3. Step 3: Cross multiply
   78.38x = 171.94 × 171.94
4. Step 4: Simplify right side
   78.38x = 29,562.50
5. Step 5: Solve for x
   x = 29,562.50/78.38
6. Step 6: Final answer
   x = 377.19