Finding the Third Proportional to 141,967 and 288,105

Step by Step Solution

1. Step 1: Write the proportion equation
   141,967 : 288,105 = 288,105 : x
2. Step 2: Convert to fraction form
   141,967/288,105 = 288,105/x
3. Step 3: Cross multiply
   141,967x = 288,105 × 288,105
4. Step 4: Simplify right side
   141,967x = 83,004,491,025
5. Step 5: Solve for x
   x = 83,004,491,025/141,967
6. Step 6: Final answer
   x = 584,674.54