Finding the Third Proportional to 105,318 and 231,984

Step by Step Solution

1. Step 1: Write the proportion equation
   105,318 : 231,984 = 231,984 : x
2. Step 2: Convert to fraction form
   105,318/231,984 = 231,984/x
3. Step 3: Cross multiply
   105,318x = 231,984 × 231,984
4. Step 4: Simplify right side
   105,318x = 53,816,576,256
5. Step 5: Solve for x
   x = 53,816,576,256/105,318
6. Step 6: Final answer
   x = 510,991.25