Finding the Third Proportional to 114,529 and 173,049

Step by Step Solution

1. Step 1: Write the proportion equation
   114,529 : 173,049 = 173,049 : x
2. Step 2: Convert to fraction form
   114,529/173,049 = 173,049/x
3. Step 3: Cross multiply
   114,529x = 173,049 × 173,049
4. Step 4: Simplify right side
   114,529x = 29,945,956,401
5. Step 5: Solve for x
   x = 29,945,956,401/114,529
6. Step 6: Final answer
   x = 261,470.51