Finding the Third Proportional to 50,058 and 101,502

Step by Step Solution

1. Step 1: Write the proportion equation
   50,058 : 101,502 = 101,502 : x
2. Step 2: Convert to fraction form
   50,058/101,502 = 101,502/x
3. Step 3: Cross multiply
   50,058x = 101,502 × 101,502
4. Step 4: Simplify right side
   50,058x = 10,302,656,004
5. Step 5: Solve for x
   x = 10,302,656,004/50,058
6. Step 6: Final answer
   x = 205,814.38