Finding the Third Proportional to 49,256 and 102,015

Step by Step Solution

1. Step 1: Write the proportion equation
   49,256 : 102,015 = 102,015 : x
2. Step 2: Convert to fraction form
   49,256/102,015 = 102,015/x
3. Step 3: Cross multiply
   49,256x = 102,015 × 102,015
4. Step 4: Simplify right side
   49,256x = 10,407,060,225
5. Step 5: Solve for x
   x = 10,407,060,225/49,256
6. Step 6: Final answer
   x = 211,285.13