Finding the Third Proportional to 333.50 and 727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   333.50 : 727.25 = 727.25 : x
2. Step 2: Convert to fraction form
   333.50/727.25 = 727.25/x
3. Step 3: Cross multiply
   333.50x = 727.25 × 727.25
4. Step 4: Simplify right side
   333.50x = 528,892.56
5. Step 5: Solve for x
   x = 528,892.56/333.50
6. Step 6: Final answer
   x = 1,585.88