Finding the Third Proportional to 343,077 and 533,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,077 : 533,299.50 = 533,299.50 : x
2. Step 2: Convert to fraction form
   343,077/533,299.50 = 533,299.50/x
3. Step 3: Cross multiply
   343,077x = 533,299.50 × 533,299.50
4. Step 4: Simplify right side
   343,077x = 284,408,356,700.25
5. Step 5: Solve for x
   x = 284,408,356,700.25/343,077
6. Step 6: Final answer
   x = 828,992.78