Finding the Third Proportional to 105,858 and 227,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,858 : 227,065.50 = 227,065.50 : x
2. Step 2: Convert to fraction form
   105,858/227,065.50 = 227,065.50/x
3. Step 3: Cross multiply
   105,858x = 227,065.50 × 227,065.50
4. Step 4: Simplify right side
   105,858x = 51,558,741,290.25
5. Step 5: Solve for x
   x = 51,558,741,290.25/105,858
6. Step 6: Final answer
   x = 487,055.69