Finding the Third Proportional to 525,647 and 823,475

Step by Step Solution

1. Step 1: Write the proportion equation
   525,647 : 823,475 = 823,475 : x
2. Step 2: Convert to fraction form
   525,647/823,475 = 823,475/x
3. Step 3: Cross multiply
   525,647x = 823,475 × 823,475
4. Step 4: Simplify right side
   525,647x = 678,111,075,625
5. Step 5: Solve for x
   x = 678,111,075,625/525,647
6. Step 6: Final answer
   x = 1,290,050.31