Finding the Third Proportional to 98,986 and 213,290

Step by Step Solution

1. Step 1: Write the proportion equation
   98,986 : 213,290 = 213,290 : x
2. Step 2: Convert to fraction form
   98,986/213,290 = 213,290/x
3. Step 3: Cross multiply
   98,986x = 213,290 × 213,290
4. Step 4: Simplify right side
   98,986x = 45,492,624,100
5. Step 5: Solve for x
   x = 45,492,624,100/98,986
6. Step 6: Final answer
   x = 459,586.45