Finding the Third Proportional to 50,838 and 111,490

Step by Step Solution

1. Step 1: Write the proportion equation
   50,838 : 111,490 = 111,490 : x
2. Step 2: Convert to fraction form
   50,838/111,490 = 111,490/x
3. Step 3: Cross multiply
   50,838x = 111,490 × 111,490
4. Step 4: Simplify right side
   50,838x = 12,430,020,100
5. Step 5: Solve for x
   x = 12,430,020,100/50,838
6. Step 6: Final answer
   x = 244,502.54