Finding the Third Proportional to 50,877 and 103,137

Step by Step Solution

1. Step 1: Write the proportion equation
   50,877 : 103,137 = 103,137 : x
2. Step 2: Convert to fraction form
   50,877/103,137 = 103,137/x
3. Step 3: Cross multiply
   50,877x = 103,137 × 103,137
4. Step 4: Simplify right side
   50,877x = 10,637,240,769
5. Step 5: Solve for x
   x = 10,637,240,769/50,877
6. Step 6: Final answer
   x = 209,077.59