Finding the Third Proportional to 345,546 and 533,074.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,546 : 533,074.50 = 533,074.50 : x
2. Step 2: Convert to fraction form
   345,546/533,074.50 = 533,074.50/x
3. Step 3: Cross multiply
   345,546x = 533,074.50 × 533,074.50
4. Step 4: Simplify right side
   345,546x = 284,168,422,550.25
5. Step 5: Solve for x
   x = 284,168,422,550.25/345,546
6. Step 6: Final answer
   x = 822,375.09