Finding the Third Proportional to 105,132 and 227,762

Step by Step Solution

1. Step 1: Write the proportion equation
   105,132 : 227,762 = 227,762 : x
2. Step 2: Convert to fraction form
   105,132/227,762 = 227,762/x
3. Step 3: Cross multiply
   105,132x = 227,762 × 227,762
4. Step 4: Simplify right side
   105,132x = 51,875,528,644
5. Step 5: Solve for x
   x = 51,875,528,644/105,132
6. Step 6: Final answer
   x = 493,432.34