Finding the Third Proportional to 677,398 and 997,384

Step by Step Solution

1. Step 1: Write the proportion equation
   677,398 : 997,384 = 997,384 : x
2. Step 2: Convert to fraction form
   677,398/997,384 = 997,384/x
3. Step 3: Cross multiply
   677,398x = 997,384 × 997,384
4. Step 4: Simplify right side
   677,398x = 994,774,843,456
5. Step 5: Solve for x
   x = 994,774,843,456/677,398
6. Step 6: Final answer
   x = 1,468,523.44