Finding the Third Proportional to 81,131 and 174,256

Step by Step Solution

1. Step 1: Write the proportion equation
   81,131 : 174,256 = 174,256 : x
2. Step 2: Convert to fraction form
   81,131/174,256 = 174,256/x
3. Step 3: Cross multiply
   81,131x = 174,256 × 174,256
4. Step 4: Simplify right side
   81,131x = 30,365,153,536
5. Step 5: Solve for x
   x = 30,365,153,536/81,131
6. Step 6: Final answer
   x = 374,273.13