Finding the Third Proportional to 105,500 and 227,646

Step by Step Solution

1. Step 1: Write the proportion equation
   105,500 : 227,646 = 227,646 : x
2. Step 2: Convert to fraction form
   105,500/227,646 = 227,646/x
3. Step 3: Cross multiply
   105,500x = 227,646 × 227,646
4. Step 4: Simplify right side
   105,500x = 51,822,701,316
5. Step 5: Solve for x
   x = 51,822,701,316/105,500
6. Step 6: Final answer
   x = 491,210.44