Finding the Third Proportional to 49,078 and 105,927

Step by Step Solution

1. Step 1: Write the proportion equation
   49,078 : 105,927 = 105,927 : x
2. Step 2: Convert to fraction form
   49,078/105,927 = 105,927/x
3. Step 3: Cross multiply
   49,078x = 105,927 × 105,927
4. Step 4: Simplify right side
   49,078x = 11,220,529,329
5. Step 5: Solve for x
   x = 11,220,529,329/49,078
6. Step 6: Final answer
   x = 228,626.46