Finding the Third Proportional to 106,020 and 231,456

Step by Step Solution

1. Step 1: Write the proportion equation
   106,020 : 231,456 = 231,456 : x
2. Step 2: Convert to fraction form
   106,020/231,456 = 231,456/x
3. Step 3: Cross multiply
   106,020x = 231,456 × 231,456
4. Step 4: Simplify right side
   106,020x = 53,571,879,936
5. Step 5: Solve for x
   x = 53,571,879,936/106,020
6. Step 6: Final answer
   x = 505,299.75