Finding the Third Proportional to 116,184 and 179,496

Step by Step Solution

1. Step 1: Write the proportion equation
   116,184 : 179,496 = 179,496 : x
2. Step 2: Convert to fraction form
   116,184/179,496 = 179,496/x
3. Step 3: Cross multiply
   116,184x = 179,496 × 179,496
4. Step 4: Simplify right side
   116,184x = 32,218,814,016
5. Step 5: Solve for x
   x = 32,218,814,016/116,184
6. Step 6: Final answer
   x = 277,308.53