Finding the Third Proportional to 49,194 and 108,945

Step by Step Solution

1. Step 1: Write the proportion equation
   49,194 : 108,945 = 108,945 : x
2. Step 2: Convert to fraction form
   49,194/108,945 = 108,945/x
3. Step 3: Cross multiply
   49,194x = 108,945 × 108,945
4. Step 4: Simplify right side
   49,194x = 11,869,013,025
5. Step 5: Solve for x
   x = 11,869,013,025/49,194
6. Step 6: Final answer
   x = 241,269.53