Finding the Third Proportional to 103,978 and 224,176

Step by Step Solution

1. Step 1: Write the proportion equation
   103,978 : 224,176 = 224,176 : x
2. Step 2: Convert to fraction form
   103,978/224,176 = 224,176/x
3. Step 3: Cross multiply
   103,978x = 224,176 × 224,176
4. Step 4: Simplify right side
   103,978x = 50,254,878,976
5. Step 5: Solve for x
   x = 50,254,878,976/103,978
6. Step 6: Final answer
   x = 483,322.23