Finding the Third Proportional to 335,196 and 496,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,196 : 496,273.50 = 496,273.50 : x
2. Step 2: Convert to fraction form
   335,196/496,273.50 = 496,273.50/x
3. Step 3: Cross multiply
   335,196x = 496,273.50 × 496,273.50
4. Step 4: Simplify right side
   335,196x = 246,287,386,802.25
5. Step 5: Solve for x
   x = 246,287,386,802.25/335,196
6. Step 6: Final answer
   x = 734,756.34