Finding the Third Proportional to 213,753 and 457,371.75

Step by Step Solution

1. Step 1: Write the proportion equation
   213,753 : 457,371.75 = 457,371.75 : x
2. Step 2: Convert to fraction form
   213,753/457,371.75 = 457,371.75/x
3. Step 3: Cross multiply
   213,753x = 457,371.75 × 457,371.75
4. Step 4: Simplify right side
   213,753x = 209,188,917,698.06
5. Step 5: Solve for x
   x = 209,188,917,698.06/213,753
6. Step 6: Final answer
   x = 978,647.87