Finding the Third Proportional to 105,555 and 224,835

Step by Step Solution

1. Step 1: Write the proportion equation
   105,555 : 224,835 = 224,835 : x
2. Step 2: Convert to fraction form
   105,555/224,835 = 224,835/x
3. Step 3: Cross multiply
   105,555x = 224,835 × 224,835
4. Step 4: Simplify right side
   105,555x = 50,550,777,225
5. Step 5: Solve for x
   x = 50,550,777,225/105,555
6. Step 6: Final answer
   x = 478,904.62