Finding the Third Proportional to 50,590 and 76,048

Step by Step Solution

1. Step 1: Write the proportion equation
   50,590 : 76,048 = 76,048 : x
2. Step 2: Convert to fraction form
   50,590/76,048 = 76,048/x
3. Step 3: Cross multiply
   50,590x = 76,048 × 76,048
4. Step 4: Simplify right side
   50,590x = 5,783,298,304
5. Step 5: Solve for x
   x = 5,783,298,304/50,590
6. Step 6: Final answer
   x = 114,317.03