Finding the Third Proportional to 105,187.50 and 225,324

Step by Step Solution

1. Step 1: Write the proportion equation
   105,187.50 : 225,324 = 225,324 : x
2. Step 2: Convert to fraction form
   105,187.50/225,324 = 225,324/x
3. Step 3: Cross multiply
   105,187.50x = 225,324 × 225,324
4. Step 4: Simplify right side
   105,187.50x = 50,770,904,976
5. Step 5: Solve for x
   x = 50,770,904,976/105,187.50
6. Step 6: Final answer
   x = 482,670.52