Finding the Third Proportional to 114,523 and 173,039

Step by Step Solution

1. Step 1: Write the proportion equation
   114,523 : 173,039 = 173,039 : x
2. Step 2: Convert to fraction form
   114,523/173,039 = 173,039/x
3. Step 3: Cross multiply
   114,523x = 173,039 × 173,039
4. Step 4: Simplify right side
   114,523x = 29,942,495,521
5. Step 5: Solve for x
   x = 29,942,495,521/114,523
6. Step 6: Final answer
   x = 261,453.99