Finding the Third Proportional to 225,597 and 335,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,597 : 335,965.50 = 335,965.50 : x
2. Step 2: Convert to fraction form
   225,597/335,965.50 = 335,965.50/x
3. Step 3: Cross multiply
   225,597x = 335,965.50 × 335,965.50
4. Step 4: Simplify right side
   225,597x = 112,872,817,190.25
5. Step 5: Solve for x
   x = 112,872,817,190.25/225,597
6. Step 6: Final answer
   x = 500,329.42