Finding the Third Proportional to 105,487.31 and 227,470.78

Step by Step Solution

1. Step 1: Write the proportion equation
   105,487.31 : 227,470.78 = 227,470.78 : x
2. Step 2: Convert to fraction form
   105,487.31/227,470.78 = 227,470.78/x
3. Step 3: Cross multiply
   105,487.31x = 227,470.78 × 227,470.78
4. Step 4: Simplify right side
   105,487.31x = 51,742,956,322.49
5. Step 5: Solve for x
   x = 51,742,956,322.49/105,487.31
6. Step 6: Final answer
   x = 490,513.55