Finding the Third Proportional to 270.89 and 416.46

Step by Step Solution

1. Step 1: Write the proportion equation
   270.89 : 416.46 = 416.46 : x
2. Step 2: Convert to fraction form
   270.89/416.46 = 416.46/x
3. Step 3: Cross multiply
   270.89x = 416.46 × 416.46
4. Step 4: Simplify right side
   270.89x = 173,439.71
5. Step 5: Solve for x
   x = 173,439.71/270.89
6. Step 6: Final answer
   x = 640.26