Finding the Third Proportional to 81,280 and 173,826

Step by Step Solution

1. Step 1: Write the proportion equation
   81,280 : 173,826 = 173,826 : x
2. Step 2: Convert to fraction form
   81,280/173,826 = 173,826/x
3. Step 3: Cross multiply
   81,280x = 173,826 × 173,826
4. Step 4: Simplify right side
   81,280x = 30,215,478,276
5. Step 5: Solve for x
   x = 30,215,478,276/81,280
6. Step 6: Final answer
   x = 371,745.55