Finding the Third Proportional to 86,784 and 188,544

Step by Step Solution

1. Step 1: Write the proportion equation
   86,784 : 188,544 = 188,544 : x
2. Step 2: Convert to fraction form
   86,784/188,544 = 188,544/x
3. Step 3: Cross multiply
   86,784x = 188,544 × 188,544
4. Step 4: Simplify right side
   86,784x = 35,548,839,936
5. Step 5: Solve for x
   x = 35,548,839,936/86,784
6. Step 6: Final answer
   x = 409,624.35