Finding the Third Proportional to 114,890 and 172,456

Step by Step Solution

1. Step 1: Write the proportion equation
   114,890 : 172,456 = 172,456 : x
2. Step 2: Convert to fraction form
   114,890/172,456 = 172,456/x
3. Step 3: Cross multiply
   114,890x = 172,456 × 172,456
4. Step 4: Simplify right side
   114,890x = 29,741,071,936
5. Step 5: Solve for x
   x = 29,741,071,936/114,890
6. Step 6: Final answer
   x = 258,865.63