Finding the Third Proportional to 277,596 and 597,300

Step by Step Solution

1. Step 1: Write the proportion equation
   277,596 : 597,300 = 597,300 : x
2. Step 2: Convert to fraction form
   277,596/597,300 = 597,300/x
3. Step 3: Cross multiply
   277,596x = 597,300 × 597,300
4. Step 4: Simplify right side
   277,596x = 356,767,290,000
5. Step 5: Solve for x
   x = 356,767,290,000/277,596
6. Step 6: Final answer
   x = 1,285,203.28