Finding the Third Proportional to 475.50 and 723.25

Step by Step Solution

1. Step 1: Write the proportion equation
   475.50 : 723.25 = 723.25 : x
2. Step 2: Convert to fraction form
   475.50/723.25 = 723.25/x
3. Step 3: Cross multiply
   475.50x = 723.25 × 723.25
4. Step 4: Simplify right side
   475.50x = 523,090.56
5. Step 5: Solve for x
   x = 523,090.56/475.50
6. Step 6: Final answer
   x = 1,100.09