Finding the Third Proportional to 116,966 and 181,443

Step by Step Solution

1. Step 1: Write the proportion equation
   116,966 : 181,443 = 181,443 : x
2. Step 2: Convert to fraction form
   116,966/181,443 = 181,443/x
3. Step 3: Cross multiply
   116,966x = 181,443 × 181,443
4. Step 4: Simplify right side
   116,966x = 32,921,562,249
5. Step 5: Solve for x
   x = 32,921,562,249/116,966
6. Step 6: Final answer
   x = 281,462.67