Finding the Third Proportional to 451,926 and 619,689

Step by Step Solution

1. Step 1: Write the proportion equation
   451,926 : 619,689 = 619,689 : x
2. Step 2: Convert to fraction form
   451,926/619,689 = 619,689/x
3. Step 3: Cross multiply
   451,926x = 619,689 × 619,689
4. Step 4: Simplify right side
   451,926x = 384,014,456,721
5. Step 5: Solve for x
   x = 384,014,456,721/451,926
6. Step 6: Final answer
   x = 849,728.62