Finding the Third Proportional to 533,574 and 820,042

Step by Step Solution

1. Step 1: Write the proportion equation
   533,574 : 820,042 = 820,042 : x
2. Step 2: Convert to fraction form
   533,574/820,042 = 820,042/x
3. Step 3: Cross multiply
   533,574x = 820,042 × 820,042
4. Step 4: Simplify right side
   533,574x = 672,468,881,764
5. Step 5: Solve for x
   x = 672,468,881,764/533,574
6. Step 6: Final answer
   x = 1,260,310.44