Finding the Third Proportional to 49,832 and 109,008

Step by Step Solution

1. Step 1: Write the proportion equation
   49,832 : 109,008 = 109,008 : x
2. Step 2: Convert to fraction form
   49,832/109,008 = 109,008/x
3. Step 3: Cross multiply
   49,832x = 109,008 × 109,008
4. Step 4: Simplify right side
   49,832x = 11,882,744,064
5. Step 5: Solve for x
   x = 11,882,744,064/49,832
6. Step 6: Final answer
   x = 238,456.09