Finding the Third Proportional to 525,338 and 812,643

Step by Step Solution

1. Step 1: Write the proportion equation
   525,338 : 812,643 = 812,643 : x
2. Step 2: Convert to fraction form
   525,338/812,643 = 812,643/x
3. Step 3: Cross multiply
   525,338x = 812,643 × 812,643
4. Step 4: Simplify right side
   525,338x = 660,388,645,449
5. Step 5: Solve for x
   x = 660,388,645,449/525,338
6. Step 6: Final answer
   x = 1,257,073.82