Finding the Third Proportional to 213,678 and 457,002

Step by Step Solution

1. Step 1: Write the proportion equation
   213,678 : 457,002 = 457,002 : x
2. Step 2: Convert to fraction form
   213,678/457,002 = 457,002/x
3. Step 3: Cross multiply
   213,678x = 457,002 × 457,002
4. Step 4: Simplify right side
   213,678x = 208,850,828,004
5. Step 5: Solve for x
   x = 208,850,828,004/213,678
6. Step 6: Final answer
   x = 977,409.13