Finding the Third Proportional to 50,281 and 105,458

Step by Step Solution

1. Step 1: Write the proportion equation
   50,281 : 105,458 = 105,458 : x
2. Step 2: Convert to fraction form
   50,281/105,458 = 105,458/x
3. Step 3: Cross multiply
   50,281x = 105,458 × 105,458
4. Step 4: Simplify right side
   50,281x = 11,121,389,764
5. Step 5: Solve for x
   x = 11,121,389,764/50,281
6. Step 6: Final answer
   x = 221,184.74