Finding the Third Proportional to 50,858 and 118,123

Step by Step Solution

1. Step 1: Write the proportion equation
   50,858 : 118,123 = 118,123 : x
2. Step 2: Convert to fraction form
   50,858/118,123 = 118,123/x
3. Step 3: Cross multiply
   50,858x = 118,123 × 118,123
4. Step 4: Simplify right side
   50,858x = 13,953,043,129
5. Step 5: Solve for x
   x = 13,953,043,129/50,858
6. Step 6: Final answer
   x = 274,352.97