Finding the Third Proportional to 103,689 and 225,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,689 : 225,814.50 = 225,814.50 : x
2. Step 2: Convert to fraction form
   103,689/225,814.50 = 225,814.50/x
3. Step 3: Cross multiply
   103,689x = 225,814.50 × 225,814.50
4. Step 4: Simplify right side
   103,689x = 50,992,188,410.25
5. Step 5: Solve for x
   x = 50,992,188,410.25/103,689
6. Step 6: Final answer
   x = 491,780.12