Finding the Third Proportional to 107,024 and 231,360

Step by Step Solution

1. Step 1: Write the proportion equation
   107,024 : 231,360 = 231,360 : x
2. Step 2: Convert to fraction form
   107,024/231,360 = 231,360/x
3. Step 3: Cross multiply
   107,024x = 231,360 × 231,360
4. Step 4: Simplify right side
   107,024x = 53,527,449,600
5. Step 5: Solve for x
   x = 53,527,449,600/107,024
6. Step 6: Final answer
   x = 500,144.36