Finding the Third Proportional to 49,906 and 108,208

Step by Step Solution

1. Step 1: Write the proportion equation
   49,906 : 108,208 = 108,208 : x
2. Step 2: Convert to fraction form
   49,906/108,208 = 108,208/x
3. Step 3: Cross multiply
   49,906x = 108,208 × 108,208
4. Step 4: Simplify right side
   49,906x = 11,708,971,264
5. Step 5: Solve for x
   x = 11,708,971,264/49,906
6. Step 6: Final answer
   x = 234,620.51