Finding the Third Proportional to 114,662 and 173,723

Step by Step Solution

1. Step 1: Write the proportion equation
   114,662 : 173,723 = 173,723 : x
2. Step 2: Convert to fraction form
   114,662/173,723 = 173,723/x
3. Step 3: Cross multiply
   114,662x = 173,723 × 173,723
4. Step 4: Simplify right side
   114,662x = 30,179,680,729
5. Step 5: Solve for x
   x = 30,179,680,729/114,662
6. Step 6: Final answer
   x = 263,205.60