Finding the Third Proportional to 50,175 and 108,009

Step by Step Solution

1. Step 1: Write the proportion equation
   50,175 : 108,009 = 108,009 : x
2. Step 2: Convert to fraction form
   50,175/108,009 = 108,009/x
3. Step 3: Cross multiply
   50,175x = 108,009 × 108,009
4. Step 4: Simplify right side
   50,175x = 11,665,944,081
5. Step 5: Solve for x
   x = 11,665,944,081/50,175
6. Step 6: Final answer
   x = 232,505.11