Finding the Third Proportional to 50,858 and 111,409

Step by Step Solution

1. Step 1: Write the proportion equation
   50,858 : 111,409 = 111,409 : x
2. Step 2: Convert to fraction form
   50,858/111,409 = 111,409/x
3. Step 3: Cross multiply
   50,858x = 111,409 × 111,409
4. Step 4: Simplify right side
   50,858x = 12,411,965,281
5. Step 5: Solve for x
   x = 12,411,965,281/50,858
6. Step 6: Final answer
   x = 244,051.38