Finding the Third Proportional to 105,134 and 227,764

Step by Step Solution

1. Step 1: Write the proportion equation
   105,134 : 227,764 = 227,764 : x
2. Step 2: Convert to fraction form
   105,134/227,764 = 227,764/x
3. Step 3: Cross multiply
   105,134x = 227,764 × 227,764
4. Step 4: Simplify right side
   105,134x = 51,876,439,696
5. Step 5: Solve for x
   x = 51,876,439,696/105,134
6. Step 6: Final answer
   x = 493,431.62