Finding the Third Proportional to 103,698 and 224,196

Step by Step Solution

1. Step 1: Write the proportion equation
   103,698 : 224,196 = 224,196 : x
2. Step 2: Convert to fraction form
   103,698/224,196 = 224,196/x
3. Step 3: Cross multiply
   103,698x = 224,196 × 224,196
4. Step 4: Simplify right side
   103,698x = 50,263,846,416
5. Step 5: Solve for x
   x = 50,263,846,416/103,698
6. Step 6: Final answer
   x = 484,713.75