Finding the Third Proportional to 103,083 and 223,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,083 : 223,786.50 = 223,786.50 : x
2. Step 2: Convert to fraction form
   103,083/223,786.50 = 223,786.50/x
3. Step 3: Cross multiply
   103,083x = 223,786.50 × 223,786.50
4. Step 4: Simplify right side
   103,083x = 50,080,397,582.25
5. Step 5: Solve for x
   x = 50,080,397,582.25/103,083
6. Step 6: Final answer
   x = 485,825.96