Finding the Third Proportional to 102,569 and 215,505

Step by Step Solution

1. Step 1: Write the proportion equation
   102,569 : 215,505 = 215,505 : x
2. Step 2: Convert to fraction form
   102,569/215,505 = 215,505/x
3. Step 3: Cross multiply
   102,569x = 215,505 × 215,505
4. Step 4: Simplify right side
   102,569x = 46,442,405,025
5. Step 5: Solve for x
   x = 46,442,405,025/102,569
6. Step 6: Final answer
   x = 452,791.83