Finding the Third Proportional to 49,458 and 107,123

Step by Step Solution

1. Step 1: Write the proportion equation
   49,458 : 107,123 = 107,123 : x
2. Step 2: Convert to fraction form
   49,458/107,123 = 107,123/x
3. Step 3: Cross multiply
   49,458x = 107,123 × 107,123
4. Step 4: Simplify right side
   49,458x = 11,475,337,129
5. Step 5: Solve for x
   x = 11,475,337,129/49,458
6. Step 6: Final answer
   x = 232,021.86