Finding the Third Proportional to 105,186 and 226,410

Step by Step Solution

1. Step 1: Write the proportion equation
   105,186 : 226,410 = 226,410 : x
2. Step 2: Convert to fraction form
   105,186/226,410 = 226,410/x
3. Step 3: Cross multiply
   105,186x = 226,410 × 226,410
4. Step 4: Simplify right side
   105,186x = 51,261,488,100
5. Step 5: Solve for x
   x = 51,261,488,100/105,186
6. Step 6: Final answer
   x = 487,341.36