Finding the Third Proportional to 49,349 and 108,544

Step by Step Solution

1. Step 1: Write the proportion equation
   49,349 : 108,544 = 108,544 : x
2. Step 2: Convert to fraction form
   49,349/108,544 = 108,544/x
3. Step 3: Cross multiply
   49,349x = 108,544 × 108,544
4. Step 4: Simplify right side
   49,349x = 11,781,799,936
5. Step 5: Solve for x
   x = 11,781,799,936/49,349
6. Step 6: Final answer
   x = 238,744.45