Finding the Third Proportional to 116,224 and 178,864

Step by Step Solution

1. Step 1: Write the proportion equation
   116,224 : 178,864 = 178,864 : x
2. Step 2: Convert to fraction form
   116,224/178,864 = 178,864/x
3. Step 3: Cross multiply
   116,224x = 178,864 × 178,864
4. Step 4: Simplify right side
   116,224x = 31,992,330,496
5. Step 5: Solve for x
   x = 31,992,330,496/116,224
6. Step 6: Final answer
   x = 275,264.41