Finding the Third Proportional to 74,819 and 160,004

Step by Step Solution

1. Step 1: Write the proportion equation
   74,819 : 160,004 = 160,004 : x
2. Step 2: Convert to fraction form
   74,819/160,004 = 160,004/x
3. Step 3: Cross multiply
   74,819x = 160,004 × 160,004
4. Step 4: Simplify right side
   74,819x = 25,601,280,016
5. Step 5: Solve for x
   x = 25,601,280,016/74,819
6. Step 6: Final answer
   x = 342,176.19