Finding the Third Proportional to 102,784 and 224,196

Step by Step Solution

1. Step 1: Write the proportion equation
   102,784 : 224,196 = 224,196 : x
2. Step 2: Convert to fraction form
   102,784/224,196 = 224,196/x
3. Step 3: Cross multiply
   102,784x = 224,196 × 224,196
4. Step 4: Simplify right side
   102,784x = 50,263,846,416
5. Step 5: Solve for x
   x = 50,263,846,416/102,784
6. Step 6: Final answer
   x = 489,024.04