Finding the Third Proportional to 127.55 and 209.67

Step by Step Solution

1. Step 1: Write the proportion equation
   127.55 : 209.67 = 209.67 : x
2. Step 2: Convert to fraction form
   127.55/209.67 = 209.67/x
3. Step 3: Cross multiply
   127.55x = 209.67 × 209.67
4. Step 4: Simplify right side
   127.55x = 43,962.30
5. Step 5: Solve for x
   x = 43,962.30/127.55
6. Step 6: Final answer
   x = 344.68