Finding the Third Proportional to 105,241.50 and 225,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,241.50 : 225,427.50 = 225,427.50 : x
2. Step 2: Convert to fraction form
   105,241.50/225,427.50 = 225,427.50/x
3. Step 3: Cross multiply
   105,241.50x = 225,427.50 × 225,427.50
4. Step 4: Simplify right side
   105,241.50x = 50,817,557,756.25
5. Step 5: Solve for x
   x = 50,817,557,756.25/105,241.50
6. Step 6: Final answer
   x = 482,866.15