Finding the Third Proportional to 105,319 and 231,986

Step by Step Solution

1. Step 1: Write the proportion equation
   105,319 : 231,986 = 231,986 : x
2. Step 2: Convert to fraction form
   105,319/231,986 = 231,986/x
3. Step 3: Cross multiply
   105,319x = 231,986 × 231,986
4. Step 4: Simplify right side
   105,319x = 53,817,504,196
5. Step 5: Solve for x
   x = 53,817,504,196/105,319
6. Step 6: Final answer
   x = 510,995.21