Finding the Third Proportional to 49,434 and 108,706

Step by Step Solution

1. Step 1: Write the proportion equation
   49,434 : 108,706 = 108,706 : x
2. Step 2: Convert to fraction form
   49,434/108,706 = 108,706/x
3. Step 3: Cross multiply
   49,434x = 108,706 × 108,706
4. Step 4: Simplify right side
   49,434x = 11,816,994,436
5. Step 5: Solve for x
   x = 11,816,994,436/49,434
6. Step 6: Final answer
   x = 239,045.89