Finding the Third Proportional to 65,524 and 140,396

Step by Step Solution

1. Step 1: Write the proportion equation
   65,524 : 140,396 = 140,396 : x
2. Step 2: Convert to fraction form
   65,524/140,396 = 140,396/x
3. Step 3: Cross multiply
   65,524x = 140,396 × 140,396
4. Step 4: Simplify right side
   65,524x = 19,711,036,816
5. Step 5: Solve for x
   x = 19,711,036,816/65,524
6. Step 6: Final answer
   x = 300,821.64