Finding the Third Proportional to 102,767 and 224,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,767 : 224,208.50 = 224,208.50 : x
2. Step 2: Convert to fraction form
   102,767/224,208.50 = 224,208.50/x
3. Step 3: Cross multiply
   102,767x = 224,208.50 × 224,208.50
4. Step 4: Simplify right side
   102,767x = 50,269,451,472.25
5. Step 5: Solve for x
   x = 50,269,451,472.25/102,767
6. Step 6: Final answer
   x = 489,159.47