Finding the Third Proportional to 49,600 and 109,028

Step by Step Solution

1. Step 1: Write the proportion equation
   49,600 : 109,028 = 109,028 : x
2. Step 2: Convert to fraction form
   49,600/109,028 = 109,028/x
3. Step 3: Cross multiply
   49,600x = 109,028 × 109,028
4. Step 4: Simplify right side
   49,600x = 11,887,104,784
5. Step 5: Solve for x
   x = 11,887,104,784/49,600
6. Step 6: Final answer
   x = 239,659.37