Finding the Third Proportional to 213,499 and 459,986

Step by Step Solution

1. Step 1: Write the proportion equation
   213,499 : 459,986 = 459,986 : x
2. Step 2: Convert to fraction form
   213,499/459,986 = 459,986/x
3. Step 3: Cross multiply
   213,499x = 459,986 × 459,986
4. Step 4: Simplify right side
   213,499x = 211,587,120,196
5. Step 5: Solve for x
   x = 211,587,120,196/213,499
6. Step 6: Final answer
   x = 991,045.02