Finding the Third Proportional to 49,984 and 108,736

Step by Step Solution

1. Step 1: Write the proportion equation
   49,984 : 108,736 = 108,736 : x
2. Step 2: Convert to fraction form
   49,984/108,736 = 108,736/x
3. Step 3: Cross multiply
   49,984x = 108,736 × 108,736
4. Step 4: Simplify right side
   49,984x = 11,823,517,696
5. Step 5: Solve for x
   x = 11,823,517,696/49,984
6. Step 6: Final answer
   x = 236,546.05