Finding the Third Proportional to 361,678 and 773,180

Step by Step Solution

1. Step 1: Write the proportion equation
   361,678 : 773,180 = 773,180 : x
2. Step 2: Convert to fraction form
   361,678/773,180 = 773,180/x
3. Step 3: Cross multiply
   361,678x = 773,180 × 773,180
4. Step 4: Simplify right side
   361,678x = 597,807,312,400
5. Step 5: Solve for x
   x = 597,807,312,400/361,678
6. Step 6: Final answer
   x = 1,652,871.65