Finding the Third Proportional to 114,678 and 173,747

Step by Step Solution

1. Step 1: Write the proportion equation
   114,678 : 173,747 = 173,747 : x
2. Step 2: Convert to fraction form
   114,678/173,747 = 173,747/x
3. Step 3: Cross multiply
   114,678x = 173,747 × 173,747
4. Step 4: Simplify right side
   114,678x = 30,188,020,009
5. Step 5: Solve for x
   x = 30,188,020,009/114,678
6. Step 6: Final answer
   x = 263,241.60