Finding the Third Proportional to 114,684 and 173,756

Step by Step Solution

1. Step 1: Write the proportion equation
   114,684 : 173,756 = 173,756 : x
2. Step 2: Convert to fraction form
   114,684/173,756 = 173,756/x
3. Step 3: Cross multiply
   114,684x = 173,756 × 173,756
4. Step 4: Simplify right side
   114,684x = 30,191,147,536
5. Step 5: Solve for x
   x = 30,191,147,536/114,684
6. Step 6: Final answer
   x = 263,255.10