Finding the Third Proportional to 114,216 and 181,884

Step by Step Solution

1. Step 1: Write the proportion equation
   114,216 : 181,884 = 181,884 : x
2. Step 2: Convert to fraction form
   114,216/181,884 = 181,884/x
3. Step 3: Cross multiply
   114,216x = 181,884 × 181,884
4. Step 4: Simplify right side
   114,216x = 33,081,789,456
5. Step 5: Solve for x
   x = 33,081,789,456/114,216
6. Step 6: Final answer
   x = 289,642.34