Finding the Third Proportional to 105,384 and 225,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,384 : 225,523.50 = 225,523.50 : x
2. Step 2: Convert to fraction form
   105,384/225,523.50 = 225,523.50/x
3. Step 3: Cross multiply
   105,384x = 225,523.50 × 225,523.50
4. Step 4: Simplify right side
   105,384x = 50,860,849,052.25
5. Step 5: Solve for x
   x = 50,860,849,052.25/105,384
6. Step 6: Final answer
   x = 482,624.01