Finding the Third Proportional to 105,152 and 227,791

Step by Step Solution

1. Step 1: Write the proportion equation
   105,152 : 227,791 = 227,791 : x
2. Step 2: Convert to fraction form
   105,152/227,791 = 227,791/x
3. Step 3: Cross multiply
   105,152x = 227,791 × 227,791
4. Step 4: Simplify right side
   105,152x = 51,888,739,681
5. Step 5: Solve for x
   x = 51,888,739,681/105,152
6. Step 6: Final answer
   x = 493,464.13