Finding the Third Proportional to 49,968 and 109,197

Step by Step Solution

1. Step 1: Write the proportion equation
   49,968 : 109,197 = 109,197 : x
2. Step 2: Convert to fraction form
   49,968/109,197 = 109,197/x
3. Step 3: Cross multiply
   49,968x = 109,197 × 109,197
4. Step 4: Simplify right side
   49,968x = 11,923,984,809
5. Step 5: Solve for x
   x = 11,923,984,809/49,968
6. Step 6: Final answer
   x = 238,632.42