Finding the Third Proportional to 103,546 and 224,018

Step by Step Solution

1. Step 1: Write the proportion equation
   103,546 : 224,018 = 224,018 : x
2. Step 2: Convert to fraction form
   103,546/224,018 = 224,018/x
3. Step 3: Cross multiply
   103,546x = 224,018 × 224,018
4. Step 4: Simplify right side
   103,546x = 50,184,064,324
5. Step 5: Solve for x
   x = 50,184,064,324/103,546
6. Step 6: Final answer
   x = 484,654.78