Finding the Third Proportional to 213,966 and 458,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,966 : 458,293.50 = 458,293.50 : x
2. Step 2: Convert to fraction form
   213,966/458,293.50 = 458,293.50/x
3. Step 3: Cross multiply
   213,966x = 458,293.50 × 458,293.50
4. Step 4: Simplify right side
   213,966x = 210,032,932,142.25
5. Step 5: Solve for x
   x = 210,032,932,142.25/213,966
6. Step 6: Final answer
   x = 981,618.26