Finding the Third Proportional to 114,386 and 173,523

Step by Step Solution

1. Step 1: Write the proportion equation
   114,386 : 173,523 = 173,523 : x
2. Step 2: Convert to fraction form
   114,386/173,523 = 173,523/x
3. Step 3: Cross multiply
   114,386x = 173,523 × 173,523
4. Step 4: Simplify right side
   114,386x = 30,110,231,529
5. Step 5: Solve for x
   x = 30,110,231,529/114,386
6. Step 6: Final answer
   x = 263,233.54