Finding the Third Proportional to 49,508 and 103,096

Step by Step Solution

1. Step 1: Write the proportion equation
   49,508 : 103,096 = 103,096 : x
2. Step 2: Convert to fraction form
   49,508/103,096 = 103,096/x
3. Step 3: Cross multiply
   49,508x = 103,096 × 103,096
4. Step 4: Simplify right side
   49,508x = 10,628,785,216
5. Step 5: Solve for x
   x = 10,628,785,216/49,508
6. Step 6: Final answer
   x = 214,688.24