Finding the Third Proportional to 105,114 and 227,704

Step by Step Solution

1. Step 1: Write the proportion equation
   105,114 : 227,704 = 227,704 : x
2. Step 2: Convert to fraction form
   105,114/227,704 = 227,704/x
3. Step 3: Cross multiply
   105,114x = 227,704 × 227,704
4. Step 4: Simplify right side
   105,114x = 51,849,111,616
5. Step 5: Solve for x
   x = 51,849,111,616/105,114
6. Step 6: Final answer
   x = 493,265.52