Finding the Third Proportional to 200,433 and 322,371

Step by Step Solution

1. Step 1: Write the proportion equation
   200,433 : 322,371 = 322,371 : x
2. Step 2: Convert to fraction form
   200,433/322,371 = 322,371/x
3. Step 3: Cross multiply
   200,433x = 322,371 × 322,371
4. Step 4: Simplify right side
   200,433x = 103,923,061,641
5. Step 5: Solve for x
   x = 103,923,061,641/200,433
6. Step 6: Final answer
   x = 518,492.77