Finding the Third Proportional to 49,546 and 108,890

Step by Step Solution

1. Step 1: Write the proportion equation
   49,546 : 108,890 = 108,890 : x
2. Step 2: Convert to fraction form
   49,546/108,890 = 108,890/x
3. Step 3: Cross multiply
   49,546x = 108,890 × 108,890
4. Step 4: Simplify right side
   49,546x = 11,857,032,100
5. Step 5: Solve for x
   x = 11,857,032,100/49,546
6. Step 6: Final answer
   x = 239,313.61