Finding the Third Proportional to 224,616 and 339,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,616 : 339,262.50 = 339,262.50 : x
2. Step 2: Convert to fraction form
   224,616/339,262.50 = 339,262.50/x
3. Step 3: Cross multiply
   224,616x = 339,262.50 × 339,262.50
4. Step 4: Simplify right side
   224,616x = 115,099,043,906.25
5. Step 5: Solve for x
   x = 115,099,043,906.25/224,616
6. Step 6: Final answer
   x = 512,425.85