Finding the Third Proportional to 116,208 and 178,864

Step by Step Solution

1. Step 1: Write the proportion equation
   116,208 : 178,864 = 178,864 : x
2. Step 2: Convert to fraction form
   116,208/178,864 = 178,864/x
3. Step 3: Cross multiply
   116,208x = 178,864 × 178,864
4. Step 4: Simplify right side
   116,208x = 31,992,330,496
5. Step 5: Solve for x
   x = 31,992,330,496/116,208
6. Step 6: Final answer
   x = 275,302.31