Finding the Third Proportional to 164,048 and 257,004

Step by Step Solution

1. Step 1: Write the proportion equation
   164,048 : 257,004 = 257,004 : x
2. Step 2: Convert to fraction form
   164,048/257,004 = 257,004/x
3. Step 3: Cross multiply
   164,048x = 257,004 × 257,004
4. Step 4: Simplify right side
   164,048x = 66,051,056,016
5. Step 5: Solve for x
   x = 66,051,056,016/164,048
6. Step 6: Final answer
   x = 402,632.50