Finding the Third Proportional to 49,056 and 105,884

Step by Step Solution

1. Step 1: Write the proportion equation
   49,056 : 105,884 = 105,884 : x
2. Step 2: Convert to fraction form
   49,056/105,884 = 105,884/x
3. Step 3: Cross multiply
   49,056x = 105,884 × 105,884
4. Step 4: Simplify right side
   49,056x = 11,211,421,456
5. Step 5: Solve for x
   x = 11,211,421,456/49,056
6. Step 6: Final answer
   x = 228,543.33