Finding the Third Proportional to 171.89 and 377.95

Step by Step Solution

1. Step 1: Write the proportion equation
   171.89 : 377.95 = 377.95 : x
2. Step 2: Convert to fraction form
   171.89/377.95 = 377.95/x
3. Step 3: Cross multiply
   171.89x = 377.95 × 377.95
4. Step 4: Simplify right side
   171.89x = 142,848.56
5. Step 5: Solve for x
   x = 142,848.56/171.89
6. Step 6: Final answer
   x = 831.04