Finding the Third Proportional to 601.59 and 738.28

Step by Step Solution

1. Step 1: Write the proportion equation
   601.59 : 738.28 = 738.28 : x
2. Step 2: Convert to fraction form
   601.59/738.28 = 738.28/x
3. Step 3: Cross multiply
   601.59x = 738.28 × 738.28
4. Step 4: Simplify right side
   601.59x = 545,059.20
5. Step 5: Solve for x
   x = 545,059.20/601.59
6. Step 6: Final answer
   x = 906.03