Finding the Third Proportional to 78,462 and 161,055

Step by Step Solution

1. Step 1: Write the proportion equation
   78,462 : 161,055 = 161,055 : x
2. Step 2: Convert to fraction form
   78,462/161,055 = 161,055/x
3. Step 3: Cross multiply
   78,462x = 161,055 × 161,055
4. Step 4: Simplify right side
   78,462x = 25,938,713,025
5. Step 5: Solve for x
   x = 25,938,713,025/78,462
6. Step 6: Final answer
   x = 330,589.50