Finding the Third Proportional to 49,658 and 100,756

Step by Step Solution

1. Step 1: Write the proportion equation
   49,658 : 100,756 = 100,756 : x
2. Step 2: Convert to fraction form
   49,658/100,756 = 100,756/x
3. Step 3: Cross multiply
   49,658x = 100,756 × 100,756
4. Step 4: Simplify right side
   49,658x = 10,151,771,536
5. Step 5: Solve for x
   x = 10,151,771,536/49,658
6. Step 6: Final answer
   x = 204,433.76