Finding the Third Proportional to 108,508 and 253,510

Step by Step Solution

1. Step 1: Write the proportion equation
   108,508 : 253,510 = 253,510 : x
2. Step 2: Convert to fraction form
   108,508/253,510 = 253,510/x
3. Step 3: Cross multiply
   108,508x = 253,510 × 253,510
4. Step 4: Simplify right side
   108,508x = 64,267,320,100
5. Step 5: Solve for x
   x = 64,267,320,100/108,508
6. Step 6: Final answer
   x = 592,281.86