Finding the Third Proportional to 205,616 and 458,510

Step by Step Solution

1. Step 1: Write the proportion equation
   205,616 : 458,510 = 458,510 : x
2. Step 2: Convert to fraction form
   205,616/458,510 = 458,510/x
3. Step 3: Cross multiply
   205,616x = 458,510 × 458,510
4. Step 4: Simplify right side
   205,616x = 210,231,420,100
5. Step 5: Solve for x
   x = 210,231,420,100/205,616
6. Step 6: Final answer
   x = 1,022,446.79