Finding the Third Proportional to 233,568 and 508,142

Step by Step Solution

1. Step 1: Write the proportion equation
   233,568 : 508,142 = 508,142 : x
2. Step 2: Convert to fraction form
   233,568/508,142 = 508,142/x
3. Step 3: Cross multiply
   233,568x = 508,142 × 508,142
4. Step 4: Simplify right side
   233,568x = 258,208,292,164
5. Step 5: Solve for x
   x = 258,208,292,164/233,568
6. Step 6: Final answer
   x = 1,105,495.15