Finding the Third Proportional to 277,636 and 617,384

Step by Step Solution

1. Step 1: Write the proportion equation
   277,636 : 617,384 = 617,384 : x
2. Step 2: Convert to fraction form
   277,636/617,384 = 617,384/x
3. Step 3: Cross multiply
   277,636x = 617,384 × 617,384
4. Step 4: Simplify right side
   277,636x = 381,163,003,456
5. Step 5: Solve for x
   x = 381,163,003,456/277,636
6. Step 6: Final answer
   x = 1,372,887.53