Finding the Third Proportional to 205.50 and 310.69

Step by Step Solution

1. Step 1: Write the proportion equation
   205.50 : 310.69 = 310.69 : x
2. Step 2: Convert to fraction form
   205.50/310.69 = 310.69/x
3. Step 3: Cross multiply
   205.50x = 310.69 × 310.69
4. Step 4: Simplify right side
   205.50x = 96,526.72
5. Step 5: Solve for x
   x = 96,526.72/205.50
6. Step 6: Final answer
   x = 469.72