Finding the Third Proportional to 49,256 and 102,015.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,256 : 102,015.50 = 102,015.50 : x
2. Step 2: Convert to fraction form
   49,256/102,015.50 = 102,015.50/x
3. Step 3: Cross multiply
   49,256x = 102,015.50 × 102,015.50
4. Step 4: Simplify right side
   49,256x = 10,407,162,240.25
5. Step 5: Solve for x
   x = 10,407,162,240.25/49,256
6. Step 6: Final answer
   x = 211,287.20