Finding the Third Proportional to 49,584 and 103,179

Step by Step Solution

1. Step 1: Write the proportion equation
   49,584 : 103,179 = 103,179 : x
2. Step 2: Convert to fraction form
   49,584/103,179 = 103,179/x
3. Step 3: Cross multiply
   49,584x = 103,179 × 103,179
4. Step 4: Simplify right side
   49,584x = 10,645,906,041
5. Step 5: Solve for x
   x = 10,645,906,041/49,584
6. Step 6: Final answer
   x = 214,704.46