Finding the Third Proportional to 102,769 and 224,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,769 : 224,212.50 = 224,212.50 : x
2. Step 2: Convert to fraction form
   102,769/224,212.50 = 224,212.50/x
3. Step 3: Cross multiply
   102,769x = 224,212.50 × 224,212.50
4. Step 4: Simplify right side
   102,769x = 50,271,245,156.25
5. Step 5: Solve for x
   x = 50,271,245,156.25/102,769
6. Step 6: Final answer
   x = 489,167.41