Finding the Third Proportional to 103,892 and 223,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,892 : 223,814.50 = 223,814.50 : x
2. Step 2: Convert to fraction form
   103,892/223,814.50 = 223,814.50/x
3. Step 3: Cross multiply
   103,892x = 223,814.50 × 223,814.50
4. Step 4: Simplify right side
   103,892x = 50,092,930,410.25
5. Step 5: Solve for x
   x = 50,092,930,410.25/103,892
6. Step 6: Final answer
   x = 482,163.50