Finding the Third Proportional to 103,686 and 224,172

Step by Step Solution

1. Step 1: Write the proportion equation
   103,686 : 224,172 = 224,172 : x
2. Step 2: Convert to fraction form
   103,686/224,172 = 224,172/x
3. Step 3: Cross multiply
   103,686x = 224,172 × 224,172
4. Step 4: Simplify right side
   103,686x = 50,253,085,584
5. Step 5: Solve for x
   x = 50,253,085,584/103,686
6. Step 6: Final answer
   x = 484,666.06