Finding the Third Proportional to 102,978 and 223,083.56

Step by Step Solution

1. Step 1: Write the proportion equation
   102,978 : 223,083.56 = 223,083.56 : x
2. Step 2: Convert to fraction form
   102,978/223,083.56 = 223,083.56/x
3. Step 3: Cross multiply
   102,978x = 223,083.56 × 223,083.56
4. Step 4: Simplify right side
   102,978x = 49,766,275,857.69
5. Step 5: Solve for x
   x = 49,766,275,857.69/102,978
6. Step 6: Final answer
   x = 483,270.95