Finding the Third Proportional to 213,508 and 464,600

Step by Step Solution

1. Step 1: Write the proportion equation
   213,508 : 464,600 = 464,600 : x
2. Step 2: Convert to fraction form
   213,508/464,600 = 464,600/x
3. Step 3: Cross multiply
   213,508x = 464,600 × 464,600
4. Step 4: Simplify right side
   213,508x = 215,853,160,000
5. Step 5: Solve for x
   x = 215,853,160,000/213,508
6. Step 6: Final answer
   x = 1,010,983.94