Finding the Third Proportional to 106,546 and 231,524

Step by Step Solution

1. Step 1: Write the proportion equation
   106,546 : 231,524 = 231,524 : x
2. Step 2: Convert to fraction form
   106,546/231,524 = 231,524/x
3. Step 3: Cross multiply
   106,546x = 231,524 × 231,524
4. Step 4: Simplify right side
   106,546x = 53,603,362,576
5. Step 5: Solve for x
   x = 53,603,362,576/106,546
6. Step 6: Final answer
   x = 503,100.66