Finding the Third Proportional to 105,534 and 224,910

Step by Step Solution

1. Step 1: Write the proportion equation
   105,534 : 224,910 = 224,910 : x
2. Step 2: Convert to fraction form
   105,534/224,910 = 224,910/x
3. Step 3: Cross multiply
   105,534x = 224,910 × 224,910
4. Step 4: Simplify right side
   105,534x = 50,584,508,100
5. Step 5: Solve for x
   x = 50,584,508,100/105,534
6. Step 6: Final answer
   x = 479,319.54