Finding the Third Proportional to 427.69 and 601.88

Step by Step Solution

1. Step 1: Write the proportion equation
   427.69 : 601.88 = 601.88 : x
2. Step 2: Convert to fraction form
   427.69/601.88 = 601.88/x
3. Step 3: Cross multiply
   427.69x = 601.88 × 601.88
4. Step 4: Simplify right side
   427.69x = 362,253.52
5. Step 5: Solve for x
   x = 362,253.52/427.69
6. Step 6: Final answer
   x = 847.01