Finding the Third Proportional to 171.50 and 374.88

Step by Step Solution

1. Step 1: Write the proportion equation
   171.50 : 374.88 = 374.88 : x
2. Step 2: Convert to fraction form
   171.50/374.88 = 374.88/x
3. Step 3: Cross multiply
   171.50x = 374.88 × 374.88
4. Step 4: Simplify right side
   171.50x = 140,531.27
5. Step 5: Solve for x
   x = 140,531.27/171.50
6. Step 6: Final answer
   x = 819.42