Finding the Third Proportional to 500,434 and 737,419

Step by Step Solution

1. Step 1: Write the proportion equation
   500,434 : 737,419 = 737,419 : x
2. Step 2: Convert to fraction form
   500,434/737,419 = 737,419/x
3. Step 3: Cross multiply
   500,434x = 737,419 × 737,419
4. Step 4: Simplify right side
   500,434x = 543,786,781,561
5. Step 5: Solve for x
   x = 543,786,781,561/500,434
6. Step 6: Final answer
   x = 1,086,630.37