Finding the Third Proportional to 213,414 and 457,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   213,414 : 457,255.50 = 457,255.50 : x
2. Step 2: Convert to fraction form
   213,414/457,255.50 = 457,255.50/x
3. Step 3: Cross multiply
   213,414x = 457,255.50 × 457,255.50
4. Step 4: Simplify right side
   213,414x = 209,082,592,280.25
5. Step 5: Solve for x
   x = 209,082,592,280.25/213,414
6. Step 6: Final answer
   x = 979,704.20