Finding the Third Proportional to 171.18 and 376.52

Step by Step Solution

1. Step 1: Write the proportion equation
   171.18 : 376.52 = 376.52 : x
2. Step 2: Convert to fraction form
   171.18/376.52 = 376.52/x
3. Step 3: Cross multiply
   171.18x = 376.52 × 376.52
4. Step 4: Simplify right side
   171.18x = 141,769.90
5. Step 5: Solve for x
   x = 141,769.90/171.18
6. Step 6: Final answer
   x = 828.21