Finding the Third Proportional to 427.78 and 675.42

Step by Step Solution

1. Step 1: Write the proportion equation
   427.78 : 675.42 = 675.42 : x
2. Step 2: Convert to fraction form
   427.78/675.42 = 675.42/x
3. Step 3: Cross multiply
   427.78x = 675.42 × 675.42
4. Step 4: Simplify right side
   427.78x = 456,194.71
5. Step 5: Solve for x
   x = 456,194.71/427.78
6. Step 6: Final answer
   x = 1,066.42