Finding the Third Proportional to 335,367 and 498,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,367 : 498,493.50 = 498,493.50 : x
2. Step 2: Convert to fraction form
   335,367/498,493.50 = 498,493.50/x
3. Step 3: Cross multiply
   335,367x = 498,493.50 × 498,493.50
4. Step 4: Simplify right side
   335,367x = 248,495,769,542.25
5. Step 5: Solve for x
   x = 248,495,769,542.25/335,367
6. Step 6: Final answer
   x = 740,966.67