Finding the Third Proportional to 106,005 and 231,936

Step by Step Solution

1. Step 1: Write the proportion equation
   106,005 : 231,936 = 231,936 : x
2. Step 2: Convert to fraction form
   106,005/231,936 = 231,936/x
3. Step 3: Cross multiply
   106,005x = 231,936 × 231,936
4. Step 4: Simplify right side
   106,005x = 53,794,308,096
5. Step 5: Solve for x
   x = 53,794,308,096/106,005
6. Step 6: Final answer
   x = 507,469.54