Finding the Third Proportional to 427.78 and 701.72

Step by Step Solution

1. Step 1: Write the proportion equation
   427.78 : 701.72 = 701.72 : x
2. Step 2: Convert to fraction form
   427.78/701.72 = 701.72/x
3. Step 3: Cross multiply
   427.78x = 701.72 × 701.72
4. Step 4: Simplify right side
   427.78x = 492,409.20
5. Step 5: Solve for x
   x = 492,409.20/427.78
6. Step 6: Final answer
   x = 1,151.08