Finding the Third Proportional to 601.50 and 728.25

Step by Step Solution

1. Step 1: Write the proportion equation
   601.50 : 728.25 = 728.25 : x
2. Step 2: Convert to fraction form
   601.50/728.25 = 728.25/x
3. Step 3: Cross multiply
   601.50x = 728.25 × 728.25
4. Step 4: Simplify right side
   601.50x = 530,348.06
5. Step 5: Solve for x
   x = 530,348.06/601.50
6. Step 6: Final answer
   x = 881.71