Finding the Third Proportional to 102,108.50 and 224,574

Step by Step Solution

1. Step 1: Write the proportion equation
   102,108.50 : 224,574 = 224,574 : x
2. Step 2: Convert to fraction form
   102,108.50/224,574 = 224,574/x
3. Step 3: Cross multiply
   102,108.50x = 224,574 × 224,574
4. Step 4: Simplify right side
   102,108.50x = 50,433,481,476
5. Step 5: Solve for x
   x = 50,433,481,476/102,108.50
6. Step 6: Final answer
   x = 493,920.50