Finding the Third Proportional to 49,194 and 105,555

Step by Step Solution

1. Step 1: Write the proportion equation
   49,194 : 105,555 = 105,555 : x
2. Step 2: Convert to fraction form
   49,194/105,555 = 105,555/x
3. Step 3: Cross multiply
   49,194x = 105,555 × 105,555
4. Step 4: Simplify right side
   49,194x = 11,141,858,025
5. Step 5: Solve for x
   x = 11,141,858,025/49,194
6. Step 6: Final answer
   x = 226,488.15