Finding the Third Proportional to 53,906 and 117,250

Step by Step Solution

1. Step 1: Write the proportion equation
   53,906 : 117,250 = 117,250 : x
2. Step 2: Convert to fraction form
   53,906/117,250 = 117,250/x
3. Step 3: Cross multiply
   53,906x = 117,250 × 117,250
4. Step 4: Simplify right side
   53,906x = 13,747,562,500
5. Step 5: Solve for x
   x = 13,747,562,500/53,906
6. Step 6: Final answer
   x = 255,028.43