Finding the Third Proportional to 172,944 and 262,960

Step by Step Solution

1. Step 1: Write the proportion equation
   172,944 : 262,960 = 262,960 : x
2. Step 2: Convert to fraction form
   172,944/262,960 = 262,960/x
3. Step 3: Cross multiply
   172,944x = 262,960 × 262,960
4. Step 4: Simplify right side
   172,944x = 69,147,961,600
5. Step 5: Solve for x
   x = 69,147,961,600/172,944
6. Step 6: Final answer
   x = 399,828.62