Finding the Third Proportional to 470,798 and 697,040

Step by Step Solution

1. Step 1: Write the proportion equation
   470,798 : 697,040 = 697,040 : x
2. Step 2: Convert to fraction form
   470,798/697,040 = 697,040/x
3. Step 3: Cross multiply
   470,798x = 697,040 × 697,040
4. Step 4: Simplify right side
   470,798x = 485,864,761,600
5. Step 5: Solve for x
   x = 485,864,761,600/470,798
6. Step 6: Final answer
   x = 1,032,002.60