Finding the Third Proportional to 98,522 and 213,568

Step by Step Solution

1. Step 1: Write the proportion equation
   98,522 : 213,568 = 213,568 : x
2. Step 2: Convert to fraction form
   98,522/213,568 = 213,568/x
3. Step 3: Cross multiply
   98,522x = 213,568 × 213,568
4. Step 4: Simplify right side
   98,522x = 45,611,290,624
5. Step 5: Solve for x
   x = 45,611,290,624/98,522
6. Step 6: Final answer
   x = 462,955.39