Finding the Third Proportional to 105,326.25 and 225,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,326.25 : 225,475.50 = 225,475.50 : x
2. Step 2: Convert to fraction form
   105,326.25/225,475.50 = 225,475.50/x
3. Step 3: Cross multiply
   105,326.25x = 225,475.50 × 225,475.50
4. Step 4: Simplify right side
   105,326.25x = 50,839,201,100.25
5. Step 5: Solve for x
   x = 50,839,201,100.25/105,326.25
6. Step 6: Final answer
   x = 482,683.10