Finding the Third Proportional to 224,919 and 338,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,919 : 338,860.50 = 338,860.50 : x
2. Step 2: Convert to fraction form
   224,919/338,860.50 = 338,860.50/x
3. Step 3: Cross multiply
   224,919x = 338,860.50 × 338,860.50
4. Step 4: Simplify right side
   224,919x = 114,826,438,460.25
5. Step 5: Solve for x
   x = 114,826,438,460.25/224,919
6. Step 6: Final answer
   x = 510,523.51