Finding the Third Proportional to 46,823 and 102,404

Step by Step Solution

1. Step 1: Write the proportion equation
   46,823 : 102,404 = 102,404 : x
2. Step 2: Convert to fraction form
   46,823/102,404 = 102,404/x
3. Step 3: Cross multiply
   46,823x = 102,404 × 102,404
4. Step 4: Simplify right side
   46,823x = 10,486,579,216
5. Step 5: Solve for x
   x = 10,486,579,216/46,823
6. Step 6: Final answer
   x = 223,962.14