Finding the Third Proportional to 277,002 and 595,384

Step by Step Solution

1. Step 1: Write the proportion equation
   277,002 : 595,384 = 595,384 : x
2. Step 2: Convert to fraction form
   277,002/595,384 = 595,384/x
3. Step 3: Cross multiply
   277,002x = 595,384 × 595,384
4. Step 4: Simplify right side
   277,002x = 354,482,107,456
5. Step 5: Solve for x
   x = 354,482,107,456/277,002
6. Step 6: Final answer
   x = 1,279,709.56