Finding the Third Proportional to 451.69 and 725.06

Step by Step Solution

1. Step 1: Write the proportion equation
   451.69 : 725.06 = 725.06 : x
2. Step 2: Convert to fraction form
   451.69/725.06 = 725.06/x
3. Step 3: Cross multiply
   451.69x = 725.06 × 725.06
4. Step 4: Simplify right side
   451.69x = 525,715.63
5. Step 5: Solve for x
   x = 525,715.63/451.69
6. Step 6: Final answer
   x = 1,163.89