Finding the Third Proportional to 49,282 and 105,380

Step by Step Solution

1. Step 1: Write the proportion equation
   49,282 : 105,380 = 105,380 : x
2. Step 2: Convert to fraction form
   49,282/105,380 = 105,380/x
3. Step 3: Cross multiply
   49,282x = 105,380 × 105,380
4. Step 4: Simplify right side
   49,282x = 11,104,944,400
5. Step 5: Solve for x
   x = 11,104,944,400/49,282
6. Step 6: Final answer
   x = 225,334.69