Finding the Third Proportional to 229,624 and 486,564

Step by Step Solution

1. Step 1: Write the proportion equation
   229,624 : 486,564 = 486,564 : x
2. Step 2: Convert to fraction form
   229,624/486,564 = 486,564/x
3. Step 3: Cross multiply
   229,624x = 486,564 × 486,564
4. Step 4: Simplify right side
   229,624x = 236,744,526,096
5. Step 5: Solve for x
   x = 236,744,526,096/229,624
6. Step 6: Final answer
   x = 1,031,009.50