Finding the Third Proportional to 49,322 and 108,698

Step by Step Solution

1. Step 1: Write the proportion equation
   49,322 : 108,698 = 108,698 : x
2. Step 2: Convert to fraction form
   49,322/108,698 = 108,698/x
3. Step 3: Cross multiply
   49,322x = 108,698 × 108,698
4. Step 4: Simplify right side
   49,322x = 11,815,255,204
5. Step 5: Solve for x
   x = 11,815,255,204/49,322
6. Step 6: Final answer
   x = 239,553.45