Finding the Third Proportional to 108,724.50 and 224,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,724.50 : 224,907.50 = 224,907.50 : x
2. Step 2: Convert to fraction form
   108,724.50/224,907.50 = 224,907.50/x
3. Step 3: Cross multiply
   108,724.50x = 224,907.50 × 224,907.50
4. Step 4: Simplify right side
   108,724.50x = 50,583,383,556.25
5. Step 5: Solve for x
   x = 50,583,383,556.25/108,724.50
6. Step 6: Final answer
   x = 465,243.65