Finding the Third Proportional to 114,176 and 181,834

Step by Step Solution

1. Step 1: Write the proportion equation
   114,176 : 181,834 = 181,834 : x
2. Step 2: Convert to fraction form
   114,176/181,834 = 181,834/x
3. Step 3: Cross multiply
   114,176x = 181,834 × 181,834
4. Step 4: Simplify right side
   114,176x = 33,063,603,556
5. Step 5: Solve for x
   x = 33,063,603,556/114,176
6. Step 6: Final answer
   x = 289,584.53