Finding the Third Proportional to 49,182 and 105,378

Step by Step Solution

1. Step 1: Write the proportion equation
   49,182 : 105,378 = 105,378 : x
2. Step 2: Convert to fraction form
   49,182/105,378 = 105,378/x
3. Step 3: Cross multiply
   49,182x = 105,378 × 105,378
4. Step 4: Simplify right side
   49,182x = 11,104,522,884
5. Step 5: Solve for x
   x = 11,104,522,884/49,182
6. Step 6: Final answer
   x = 225,784.29