Finding the Third Proportional to 107,400 and 231,401

Step by Step Solution

1. Step 1: Write the proportion equation
   107,400 : 231,401 = 231,401 : x
2. Step 2: Convert to fraction form
   107,400/231,401 = 231,401/x
3. Step 3: Cross multiply
   107,400x = 231,401 × 231,401
4. Step 4: Simplify right side
   107,400x = 53,546,422,801
5. Step 5: Solve for x
   x = 53,546,422,801/107,400
6. Step 6: Final answer
   x = 498,570.04