Finding the Third Proportional to 105,962 and 231,608

Step by Step Solution

1. Step 1: Write the proportion equation
   105,962 : 231,608 = 231,608 : x
2. Step 2: Convert to fraction form
   105,962/231,608 = 231,608/x
3. Step 3: Cross multiply
   105,962x = 231,608 × 231,608
4. Step 4: Simplify right side
   105,962x = 53,642,265,664
5. Step 5: Solve for x
   x = 53,642,265,664/105,962
6. Step 6: Final answer
   x = 506,240.59