Finding the Third Proportional to 45,826 and 100,508

Step by Step Solution

1. Step 1: Write the proportion equation
   45,826 : 100,508 = 100,508 : x
2. Step 2: Convert to fraction form
   45,826/100,508 = 100,508/x
3. Step 3: Cross multiply
   45,826x = 100,508 × 100,508
4. Step 4: Simplify right side
   45,826x = 10,101,858,064
5. Step 5: Solve for x
   x = 10,101,858,064/45,826
6. Step 6: Final answer
   x = 220,439.45