Finding the Third Proportional to 102,769.50 and 224,165.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,769.50 : 224,165.25 = 224,165.25 : x
2. Step 2: Convert to fraction form
   102,769.50/224,165.25 = 224,165.25/x
3. Step 3: Cross multiply
   102,769.50x = 224,165.25 × 224,165.25
4. Step 4: Simplify right side
   102,769.50x = 50,250,059,307.56
5. Step 5: Solve for x
   x = 50,250,059,307.56/102,769.50
6. Step 6: Final answer
   x = 488,958.88