Finding the Third Proportional to 384,322 and 610,697

Step by Step Solution

1. Step 1: Write the proportion equation
   384,322 : 610,697 = 610,697 : x
2. Step 2: Convert to fraction form
   384,322/610,697 = 610,697/x
3. Step 3: Cross multiply
   384,322x = 610,697 × 610,697
4. Step 4: Simplify right side
   384,322x = 372,950,825,809
5. Step 5: Solve for x
   x = 372,950,825,809/384,322
6. Step 6: Final answer
   x = 970,412.38