Finding the Third Proportional to 110,568 and 238,416

Step by Step Solution

1. Step 1: Write the proportion equation
   110,568 : 238,416 = 238,416 : x
2. Step 2: Convert to fraction form
   110,568/238,416 = 238,416/x
3. Step 3: Cross multiply
   110,568x = 238,416 × 238,416
4. Step 4: Simplify right side
   110,568x = 56,842,189,056
5. Step 5: Solve for x
   x = 56,842,189,056/110,568
6. Step 6: Final answer
   x = 514,092.59