Finding the Third Proportional to 78.05 and 209.67

Step by Step Solution

1. Step 1: Write the proportion equation
   78.05 : 209.67 = 209.67 : x
2. Step 2: Convert to fraction form
   78.05/209.67 = 209.67/x
3. Step 3: Cross multiply
   78.05x = 209.67 × 209.67
4. Step 4: Simplify right side
   78.05x = 43,962.30
5. Step 5: Solve for x
   x = 43,962.30/78.05
6. Step 6: Final answer
   x = 563.28