Finding the Third Proportional to 81,688 and 173,456

Step by Step Solution

1. Step 1: Write the proportion equation
   81,688 : 173,456 = 173,456 : x
2. Step 2: Convert to fraction form
   81,688/173,456 = 173,456/x
3. Step 3: Cross multiply
   81,688x = 173,456 × 173,456
4. Step 4: Simplify right side
   81,688x = 30,086,983,936
5. Step 5: Solve for x
   x = 30,086,983,936/81,688
6. Step 6: Final answer
   x = 368,315.84