Finding the Third Proportional to 213,183.50 and 458,624

Step by Step Solution

1. Step 1: Write the proportion equation
   213,183.50 : 458,624 = 458,624 : x
2. Step 2: Convert to fraction form
   213,183.50/458,624 = 458,624/x
3. Step 3: Cross multiply
   213,183.50x = 458,624 × 458,624
4. Step 4: Simplify right side
   213,183.50x = 210,335,973,376
5. Step 5: Solve for x
   x = 210,335,973,376/213,183.50
6. Step 6: Final answer
   x = 986,642.84