Finding the Third Proportional to 87,228 and 178,144

Step by Step Solution

1. Step 1: Write the proportion equation
   87,228 : 178,144 = 178,144 : x
2. Step 2: Convert to fraction form
   87,228/178,144 = 178,144/x
3. Step 3: Cross multiply
   87,228x = 178,144 × 178,144
4. Step 4: Simplify right side
   87,228x = 31,735,284,736
5. Step 5: Solve for x
   x = 31,735,284,736/87,228
6. Step 6: Final answer
   x = 363,819.93