Finding the Third Proportional to 467.75 and 725.38

Step by Step Solution

1. Step 1: Write the proportion equation
   467.75 : 725.38 = 725.38 : x
2. Step 2: Convert to fraction form
   467.75/725.38 = 725.38/x
3. Step 3: Cross multiply
   467.75x = 725.38 × 725.38
4. Step 4: Simplify right side
   467.75x = 526,168.89
5. Step 5: Solve for x
   x = 526,168.89/467.75
6. Step 6: Final answer
   x = 1,124.89