Finding the Third Proportional to 171,944 and 263,004

Step by Step Solution

1. Step 1: Write the proportion equation
   171,944 : 263,004 = 263,004 : x
2. Step 2: Convert to fraction form
   171,944/263,004 = 263,004/x
3. Step 3: Cross multiply
   171,944x = 263,004 × 263,004
4. Step 4: Simplify right side
   171,944x = 69,171,104,016
5. Step 5: Solve for x
   x = 69,171,104,016/171,944
6. Step 6: Final answer
   x = 402,288.56