Finding the Third Proportional to 171.50 and 310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   171.50 : 310.50 = 310.50 : x
2. Step 2: Convert to fraction form
   171.50/310.50 = 310.50/x
3. Step 3: Cross multiply
   171.50x = 310.50 × 310.50
4. Step 4: Simplify right side
   171.50x = 96,410.25
5. Step 5: Solve for x
   x = 96,410.25/171.50
6. Step 6: Final answer
   x = 562.16