Finding the Third Proportional to 105,054 and 224,868

Step by Step Solution

1. Step 1: Write the proportion equation
   105,054 : 224,868 = 224,868 : x
2. Step 2: Convert to fraction form
   105,054/224,868 = 224,868/x
3. Step 3: Cross multiply
   105,054x = 224,868 × 224,868
4. Step 4: Simplify right side
   105,054x = 50,565,617,424
5. Step 5: Solve for x
   x = 50,565,617,424/105,054
6. Step 6: Final answer
   x = 481,329.77