Finding the Third Proportional to 102,568 and 215,502

Step by Step Solution

1. Step 1: Write the proportion equation
   102,568 : 215,502 = 215,502 : x
2. Step 2: Convert to fraction form
   102,568/215,502 = 215,502/x
3. Step 3: Cross multiply
   102,568x = 215,502 × 215,502
4. Step 4: Simplify right side
   102,568x = 46,441,112,004
5. Step 5: Solve for x
   x = 46,441,112,004/102,568
6. Step 6: Final answer
   x = 452,783.64