Finding the Third Proportional to 162,128 and 259,004

Step by Step Solution

1. Step 1: Write the proportion equation
   162,128 : 259,004 = 259,004 : x
2. Step 2: Convert to fraction form
   162,128/259,004 = 259,004/x
3. Step 3: Cross multiply
   162,128x = 259,004 × 259,004
4. Step 4: Simplify right side
   162,128x = 67,083,072,016
5. Step 5: Solve for x
   x = 67,083,072,016/162,128
6. Step 6: Final answer
   x = 413,766.11