Finding the Third Proportional to 102,807 and 224,250

Step by Step Solution

1. Step 1: Write the proportion equation
   102,807 : 224,250 = 224,250 : x
2. Step 2: Convert to fraction form
   102,807/224,250 = 224,250/x
3. Step 3: Cross multiply
   102,807x = 224,250 × 224,250
4. Step 4: Simplify right side
   102,807x = 50,288,062,500
5. Step 5: Solve for x
   x = 50,288,062,500/102,807
6. Step 6: Final answer
   x = 489,150.18