Finding the Third Proportional to 49,256 and 101,416

Step by Step Solution

1. Step 1: Write the proportion equation
   49,256 : 101,416 = 101,416 : x
2. Step 2: Convert to fraction form
   49,256/101,416 = 101,416/x
3. Step 3: Cross multiply
   49,256x = 101,416 × 101,416
4. Step 4: Simplify right side
   49,256x = 10,285,205,056
5. Step 5: Solve for x
   x = 10,285,205,056/49,256
6. Step 6: Final answer
   x = 208,811.21