Finding the Third Proportional to 49,584 and 108,996

Step by Step Solution

1. Step 1: Write the proportion equation
   49,584 : 108,996 = 108,996 : x
2. Step 2: Convert to fraction form
   49,584/108,996 = 108,996/x
3. Step 3: Cross multiply
   49,584x = 108,996 × 108,996
4. Step 4: Simplify right side
   49,584x = 11,880,128,016
5. Step 5: Solve for x
   x = 11,880,128,016/49,584
6. Step 6: Final answer
   x = 239,596.00