Finding the Third Proportional to 223,267.50 and 335,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   223,267.50 : 335,404.50 = 335,404.50 : x
2. Step 2: Convert to fraction form
   223,267.50/335,404.50 = 335,404.50/x
3. Step 3: Cross multiply
   223,267.50x = 335,404.50 × 335,404.50
4. Step 4: Simplify right side
   223,267.50x = 112,496,178,620.25
5. Step 5: Solve for x
   x = 112,496,178,620.25/223,267.50
6. Step 6: Final answer
   x = 503,862.76