Finding the Third Proportional to 172,404 and 264,906

Step by Step Solution

1. Step 1: Write the proportion equation
   172,404 : 264,906 = 264,906 : x
2. Step 2: Convert to fraction form
   172,404/264,906 = 264,906/x
3. Step 3: Cross multiply
   172,404x = 264,906 × 264,906
4. Step 4: Simplify right side
   172,404x = 70,175,188,836
5. Step 5: Solve for x
   x = 70,175,188,836/172,404
6. Step 6: Final answer
   x = 407,039.22