Finding the Third Proportional to 171.88 and 423.69

Step by Step Solution

1. Step 1: Write the proportion equation
   171.88 : 423.69 = 423.69 : x
2. Step 2: Convert to fraction form
   171.88/423.69 = 423.69/x
3. Step 3: Cross multiply
   171.88x = 423.69 × 423.69
4. Step 4: Simplify right side
   171.88x = 179,511.10
5. Step 5: Solve for x
   x = 179,511.10/171.88
6. Step 6: Final answer
   x = 1,044.43