Finding the Third Proportional to 46,753 and 100,204

Step by Step Solution

1. Step 1: Write the proportion equation
   46,753 : 100,204 = 100,204 : x
2. Step 2: Convert to fraction form
   46,753/100,204 = 100,204/x
3. Step 3: Cross multiply
   46,753x = 100,204 × 100,204
4. Step 4: Simplify right side
   46,753x = 10,040,841,616
5. Step 5: Solve for x
   x = 10,040,841,616/46,753
6. Step 6: Final answer
   x = 214,763.58