Finding the Third Proportional to 49,456 and 102,992

Step by Step Solution

1. Step 1: Write the proportion equation
   49,456 : 102,992 = 102,992 : x
2. Step 2: Convert to fraction form
   49,456/102,992 = 102,992/x
3. Step 3: Cross multiply
   49,456x = 102,992 × 102,992
4. Step 4: Simplify right side
   49,456x = 10,607,352,064
5. Step 5: Solve for x
   x = 10,607,352,064/49,456
6. Step 6: Final answer
   x = 214,480.59