Finding the Third Proportional to 516,644 and 814,590

Step by Step Solution

1. Step 1: Write the proportion equation
   516,644 : 814,590 = 814,590 : x
2. Step 2: Convert to fraction form
   516,644/814,590 = 814,590/x
3. Step 3: Cross multiply
   516,644x = 814,590 × 814,590
4. Step 4: Simplify right side
   516,644x = 663,556,868,100
5. Step 5: Solve for x
   x = 663,556,868,100/516,644
6. Step 6: Final answer
   x = 1,284,359.96