Finding the Third Proportional to 49,832 and 106,123

Step by Step Solution

1. Step 1: Write the proportion equation
   49,832 : 106,123 = 106,123 : x
2. Step 2: Convert to fraction form
   49,832/106,123 = 106,123/x
3. Step 3: Cross multiply
   49,832x = 106,123 × 106,123
4. Step 4: Simplify right side
   49,832x = 11,262,091,129
5. Step 5: Solve for x
   x = 11,262,091,129/49,832
6. Step 6: Final answer
   x = 226,001.19