Finding the Third Proportional to 105,543 and 231,597

Step by Step Solution

1. Step 1: Write the proportion equation
   105,543 : 231,597 = 231,597 : x
2. Step 2: Convert to fraction form
   105,543/231,597 = 231,597/x
3. Step 3: Cross multiply
   105,543x = 231,597 × 231,597
4. Step 4: Simplify right side
   105,543x = 53,637,170,409
5. Step 5: Solve for x
   x = 53,637,170,409/105,543
6. Step 6: Final answer
   x = 508,202.06