Finding the Third Proportional to 49,780 and 108,309

Step by Step Solution

1. Step 1: Write the proportion equation
   49,780 : 108,309 = 108,309 : x
2. Step 2: Convert to fraction form
   49,780/108,309 = 108,309/x
3. Step 3: Cross multiply
   49,780x = 108,309 × 108,309
4. Step 4: Simplify right side
   49,780x = 11,730,839,481
5. Step 5: Solve for x
   x = 11,730,839,481/49,780
6. Step 6: Final answer
   x = 235,653.67