Finding the Third Proportional to 106,010 and 231,436

Step by Step Solution

1. Step 1: Write the proportion equation
   106,010 : 231,436 = 231,436 : x
2. Step 2: Convert to fraction form
   106,010/231,436 = 231,436/x
3. Step 3: Cross multiply
   106,010x = 231,436 × 231,436
4. Step 4: Simplify right side
   106,010x = 53,562,622,096
5. Step 5: Solve for x
   x = 53,562,622,096/106,010
6. Step 6: Final answer
   x = 505,260.09