Finding the Third Proportional to 49,222 and 108,596

Step by Step Solution

1. Step 1: Write the proportion equation
   49,222 : 108,596 = 108,596 : x
2. Step 2: Convert to fraction form
   49,222/108,596 = 108,596/x
3. Step 3: Cross multiply
   49,222x = 108,596 × 108,596
4. Step 4: Simplify right side
   49,222x = 11,793,091,216
5. Step 5: Solve for x
   x = 11,793,091,216/49,222
6. Step 6: Final answer
   x = 239,589.84