Finding the Third Proportional to 105,078 and 227,632

Step by Step Solution

1. Step 1: Write the proportion equation
   105,078 : 227,632 = 227,632 : x
2. Step 2: Convert to fraction form
   105,078/227,632 = 227,632/x
3. Step 3: Cross multiply
   105,078x = 227,632 × 227,632
4. Step 4: Simplify right side
   105,078x = 51,816,327,424
5. Step 5: Solve for x
   x = 51,816,327,424/105,078
6. Step 6: Final answer
   x = 493,122.51