Finding the Third Proportional to 345,636 and 533,196

Step by Step Solution

1. Step 1: Write the proportion equation
   345,636 : 533,196 = 533,196 : x
2. Step 2: Convert to fraction form
   345,636/533,196 = 533,196/x
3. Step 3: Cross multiply
   345,636x = 533,196 × 533,196
4. Step 4: Simplify right side
   345,636x = 284,297,974,416
5. Step 5: Solve for x
   x = 284,297,974,416/345,636
6. Step 6: Final answer
   x = 822,535.77