Finding the Third Proportional to 106,536 and 231,864

Step by Step Solution

1. Step 1: Write the proportion equation
   106,536 : 231,864 = 231,864 : x
2. Step 2: Convert to fraction form
   106,536/231,864 = 231,864/x
3. Step 3: Cross multiply
   106,536x = 231,864 × 231,864
4. Step 4: Simplify right side
   106,536x = 53,760,914,496
5. Step 5: Solve for x
   x = 53,760,914,496/106,536
6. Step 6: Final answer
   x = 504,626.74