Finding the Third Proportional to 185,568 and 288,054

Step by Step Solution

1. Step 1: Write the proportion equation
   185,568 : 288,054 = 288,054 : x
2. Step 2: Convert to fraction form
   185,568/288,054 = 288,054/x
3. Step 3: Cross multiply
   185,568x = 288,054 × 288,054
4. Step 4: Simplify right side
   185,568x = 82,975,106,916
5. Step 5: Solve for x
   x = 82,975,106,916/185,568
6. Step 6: Final answer
   x = 447,141.25