Finding the Third Proportional to 478,540 and 697,038

Step by Step Solution

1. Step 1: Write the proportion equation
   478,540 : 697,038 = 697,038 : x
2. Step 2: Convert to fraction form
   478,540/697,038 = 697,038/x
3. Step 3: Cross multiply
   478,540x = 697,038 × 697,038
4. Step 4: Simplify right side
   478,540x = 485,861,973,444
5. Step 5: Solve for x
   x = 485,861,973,444/478,540
6. Step 6: Final answer
   x = 1,015,300.65