Finding the Third Proportional to 49,256 and 108,664

Step by Step Solution

1. Step 1: Write the proportion equation
   49,256 : 108,664 = 108,664 : x
2. Step 2: Convert to fraction form
   49,256/108,664 = 108,664/x
3. Step 3: Cross multiply
   49,256x = 108,664 × 108,664
4. Step 4: Simplify right side
   49,256x = 11,807,864,896
5. Step 5: Solve for x
   x = 11,807,864,896/49,256
6. Step 6: Final answer
   x = 239,724.40