Finding the Third Proportional to 73,494 and 161,002

Step by Step Solution

1. Step 1: Write the proportion equation
   73,494 : 161,002 = 161,002 : x
2. Step 2: Convert to fraction form
   73,494/161,002 = 161,002/x
3. Step 3: Cross multiply
   73,494x = 161,002 × 161,002
4. Step 4: Simplify right side
   73,494x = 25,921,644,004
5. Step 5: Solve for x
   x = 25,921,644,004/73,494
6. Step 6: Final answer
   x = 352,704.22