Finding the Third Proportional to 49,309 and 108,004

Step by Step Solution

1. Step 1: Write the proportion equation
   49,309 : 108,004 = 108,004 : x
2. Step 2: Convert to fraction form
   49,309/108,004 = 108,004/x
3. Step 3: Cross multiply
   49,309x = 108,004 × 108,004
4. Step 4: Simplify right side
   49,309x = 11,664,864,016
5. Step 5: Solve for x
   x = 11,664,864,016/49,309
6. Step 6: Final answer
   x = 236,566.63