Finding the Third Proportional to 54,864 and 128,196

Step by Step Solution

1. Step 1: Write the proportion equation
   54,864 : 128,196 = 128,196 : x
2. Step 2: Convert to fraction form
   54,864/128,196 = 128,196/x
3. Step 3: Cross multiply
   54,864x = 128,196 × 128,196
4. Step 4: Simplify right side
   54,864x = 16,434,214,416
5. Step 5: Solve for x
   x = 16,434,214,416/54,864
6. Step 6: Final answer
   x = 299,544.59