Finding the Third Proportional to 225,648 and 490,140

Step by Step Solution

1. Step 1: Write the proportion equation
   225,648 : 490,140 = 490,140 : x
2. Step 2: Convert to fraction form
   225,648/490,140 = 490,140/x
3. Step 3: Cross multiply
   225,648x = 490,140 × 490,140
4. Step 4: Simplify right side
   225,648x = 240,237,219,600
5. Step 5: Solve for x
   x = 240,237,219,600/225,648
6. Step 6: Final answer
   x = 1,064,654.77