Finding the Third Proportional to 116,764 and 181,170

Step by Step Solution

1. Step 1: Write the proportion equation
   116,764 : 181,170 = 181,170 : x
2. Step 2: Convert to fraction form
   116,764/181,170 = 181,170/x
3. Step 3: Cross multiply
   116,764x = 181,170 × 181,170
4. Step 4: Simplify right side
   116,764x = 32,822,568,900
5. Step 5: Solve for x
   x = 32,822,568,900/116,764
6. Step 6: Final answer
   x = 281,101.79