Finding the Third Proportional to 101,978 and 223,654

Step by Step Solution

1. Step 1: Write the proportion equation
   101,978 : 223,654 = 223,654 : x
2. Step 2: Convert to fraction form
   101,978/223,654 = 223,654/x
3. Step 3: Cross multiply
   101,978x = 223,654 × 223,654
4. Step 4: Simplify right side
   101,978x = 50,021,111,716
5. Step 5: Solve for x
   x = 50,021,111,716/101,978
6. Step 6: Final answer
   x = 490,508.85