Finding the Third Proportional to 120,476 and 161,004

Step by Step Solution

1. Step 1: Write the proportion equation
   120,476 : 161,004 = 161,004 : x
2. Step 2: Convert to fraction form
   120,476/161,004 = 161,004/x
3. Step 3: Cross multiply
   120,476x = 161,004 × 161,004
4. Step 4: Simplify right side
   120,476x = 25,922,288,016
5. Step 5: Solve for x
   x = 25,922,288,016/120,476
6. Step 6: Final answer
   x = 215,165.58