Finding the Third Proportional to 525,696 and 823,590

Step by Step Solution

1. Step 1: Write the proportion equation
   525,696 : 823,590 = 823,590 : x
2. Step 2: Convert to fraction form
   525,696/823,590 = 823,590/x
3. Step 3: Cross multiply
   525,696x = 823,590 × 823,590
4. Step 4: Simplify right side
   525,696x = 678,300,488,100
5. Step 5: Solve for x
   x = 678,300,488,100/525,696
6. Step 6: Final answer
   x = 1,290,290.37