Finding the Third Proportional to 322,196 and 697,490

Step by Step Solution

1. Step 1: Write the proportion equation
   322,196 : 697,490 = 697,490 : x
2. Step 2: Convert to fraction form
   322,196/697,490 = 697,490/x
3. Step 3: Cross multiply
   322,196x = 697,490 × 697,490
4. Step 4: Simplify right side
   322,196x = 486,492,300,100
5. Step 5: Solve for x
   x = 486,492,300,100/322,196
6. Step 6: Final answer
   x = 1,509,926.57