Finding the Third Proportional to 49,856 and 108,460

Step by Step Solution

1. Step 1: Write the proportion equation
   49,856 : 108,460 = 108,460 : x
2. Step 2: Convert to fraction form
   49,856/108,460 = 108,460/x
3. Step 3: Cross multiply
   49,856x = 108,460 × 108,460
4. Step 4: Simplify right side
   49,856x = 11,763,571,600
5. Step 5: Solve for x
   x = 11,763,571,600/49,856
6. Step 6: Final answer
   x = 235,950.97