Finding the Third Proportional to 72,856 and 160,004

Step by Step Solution

1. Step 1: Write the proportion equation
   72,856 : 160,004 = 160,004 : x
2. Step 2: Convert to fraction form
   72,856/160,004 = 160,004/x
3. Step 3: Cross multiply
   72,856x = 160,004 × 160,004
4. Step 4: Simplify right side
   72,856x = 25,601,280,016
5. Step 5: Solve for x
   x = 25,601,280,016/72,856
6. Step 6: Final answer
   x = 351,395.63