Finding the Third Proportional to 224,775 and 311,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,775 : 311,404.50 = 311,404.50 : x
2. Step 2: Convert to fraction form
   224,775/311,404.50 = 311,404.50/x
3. Step 3: Cross multiply
   224,775x = 311,404.50 × 311,404.50
4. Step 4: Simplify right side
   224,775x = 96,972,762,620.25
5. Step 5: Solve for x
   x = 96,972,762,620.25/224,775
6. Step 6: Final answer
   x = 431,421.48