Finding the Third Proportional to 114,934 and 172,540

Step by Step Solution

1. Step 1: Write the proportion equation
   114,934 : 172,540 = 172,540 : x
2. Step 2: Convert to fraction form
   114,934/172,540 = 172,540/x
3. Step 3: Cross multiply
   114,934x = 172,540 × 172,540
4. Step 4: Simplify right side
   114,934x = 29,770,051,600
5. Step 5: Solve for x
   x = 29,770,051,600/114,934
6. Step 6: Final answer
   x = 259,018.67