Finding the Third Proportional to 50,084 and 108,520

Step by Step Solution

1. Step 1: Write the proportion equation
   50,084 : 108,520 = 108,520 : x
2. Step 2: Convert to fraction form
   50,084/108,520 = 108,520/x
3. Step 3: Cross multiply
   50,084x = 108,520 × 108,520
4. Step 4: Simplify right side
   50,084x = 11,776,590,400
5. Step 5: Solve for x
   x = 11,776,590,400/50,084
6. Step 6: Final answer
   x = 235,136.78