Finding the Third Proportional to 102,801 and 224,238

Step by Step Solution

1. Step 1: Write the proportion equation
   102,801 : 224,238 = 224,238 : x
2. Step 2: Convert to fraction form
   102,801/224,238 = 224,238/x
3. Step 3: Cross multiply
   102,801x = 224,238 × 224,238
4. Step 4: Simplify right side
   102,801x = 50,282,680,644
5. Step 5: Solve for x
   x = 50,282,680,644/102,801
6. Step 6: Final answer
   x = 489,126.38