Finding the Third Proportional to 103,983 and 227,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,983 : 227,356.50 = 227,356.50 : x
2. Step 2: Convert to fraction form
   103,983/227,356.50 = 227,356.50/x
3. Step 3: Cross multiply
   103,983x = 227,356.50 × 227,356.50
4. Step 4: Simplify right side
   103,983x = 51,690,978,092.25
5. Step 5: Solve for x
   x = 51,690,978,092.25/103,983
6. Step 6: Final answer
   x = 497,109.89