Finding the Third Proportional to 49,646 and 109,120

Step by Step Solution

1. Step 1: Write the proportion equation
   49,646 : 109,120 = 109,120 : x
2. Step 2: Convert to fraction form
   49,646/109,120 = 109,120/x
3. Step 3: Cross multiply
   49,646x = 109,120 × 109,120
4. Step 4: Simplify right side
   49,646x = 11,907,174,400
5. Step 5: Solve for x
   x = 11,907,174,400/49,646
6. Step 6: Final answer
   x = 239,841.57