Finding the Third Proportional to 109,200 and 231,524

Step by Step Solution

1. Step 1: Write the proportion equation
   109,200 : 231,524 = 231,524 : x
2. Step 2: Convert to fraction form
   109,200/231,524 = 231,524/x
3. Step 3: Cross multiply
   109,200x = 231,524 × 231,524
4. Step 4: Simplify right side
   109,200x = 53,603,362,576
5. Step 5: Solve for x
   x = 53,603,362,576/109,200
6. Step 6: Final answer
   x = 490,873.28