Finding the Third Proportional to 227,857 and 490,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,857 : 490,774.50 = 490,774.50 : x
2. Step 2: Convert to fraction form
   227,857/490,774.50 = 490,774.50/x
3. Step 3: Cross multiply
   227,857x = 490,774.50 × 490,774.50
4. Step 4: Simplify right side
   227,857x = 240,859,609,850.25
5. Step 5: Solve for x
   x = 240,859,609,850.25/227,857
6. Step 6: Final answer
   x = 1,057,064.78