Finding the Third Proportional to 173.80 and 270.30

Step by Step Solution

1. Step 1: Write the proportion equation
   173.80 : 270.30 = 270.30 : x
2. Step 2: Convert to fraction form
   173.80/270.30 = 270.30/x
3. Step 3: Cross multiply
   173.80x = 270.30 × 270.30
4. Step 4: Simplify right side
   173.80x = 73,064.72
5. Step 5: Solve for x
   x = 73,064.72/173.80
6. Step 6: Final answer
   x = 420.41