Finding the Third Proportional to 114,208 and 181,872

Step by Step Solution

1. Step 1: Write the proportion equation
   114,208 : 181,872 = 181,872 : x
2. Step 2: Convert to fraction form
   114,208/181,872 = 181,872/x
3. Step 3: Cross multiply
   114,208x = 181,872 × 181,872
4. Step 4: Simplify right side
   114,208x = 33,077,424,384
5. Step 5: Solve for x
   x = 33,077,424,384/114,208
6. Step 6: Final answer
   x = 289,624.41