Finding the Third Proportional to 49,508 and 100,738

Step by Step Solution

1. Step 1: Write the proportion equation
   49,508 : 100,738 = 100,738 : x
2. Step 2: Convert to fraction form
   49,508/100,738 = 100,738/x
3. Step 3: Cross multiply
   49,508x = 100,738 × 100,738
4. Step 4: Simplify right side
   49,508x = 10,148,144,644
5. Step 5: Solve for x
   x = 10,148,144,644/49,508
6. Step 6: Final answer
   x = 204,979.90