Finding the Third Proportional to 49,906 and 109,190

Step by Step Solution

1. Step 1: Write the proportion equation
   49,906 : 109,190 = 109,190 : x
2. Step 2: Convert to fraction form
   49,906/109,190 = 109,190/x
3. Step 3: Cross multiply
   49,906x = 109,190 × 109,190
4. Step 4: Simplify right side
   49,906x = 11,922,456,100
5. Step 5: Solve for x
   x = 11,922,456,100/49,906
6. Step 6: Final answer
   x = 238,898.25