Finding the Third Proportional to 105,221 and 227,938

Step by Step Solution

1. Step 1: Write the proportion equation
   105,221 : 227,938 = 227,938 : x
2. Step 2: Convert to fraction form
   105,221/227,938 = 227,938/x
3. Step 3: Cross multiply
   105,221x = 227,938 × 227,938
4. Step 4: Simplify right side
   105,221x = 51,955,731,844
5. Step 5: Solve for x
   x = 51,955,731,844/105,221
6. Step 6: Final answer
   x = 493,777.21