Finding the Third Proportional to 49,506 and 100,734

Step by Step Solution

1. Step 1: Write the proportion equation
   49,506 : 100,734 = 100,734 : x
2. Step 2: Convert to fraction form
   49,506/100,734 = 100,734/x
3. Step 3: Cross multiply
   49,506x = 100,734 × 100,734
4. Step 4: Simplify right side
   49,506x = 10,147,338,756
5. Step 5: Solve for x
   x = 10,147,338,756/49,506
6. Step 6: Final answer
   x = 204,971.90