Finding the Third Proportional to 525,642 and 823,466

Step by Step Solution

1. Step 1: Write the proportion equation
   525,642 : 823,466 = 823,466 : x
2. Step 2: Convert to fraction form
   525,642/823,466 = 823,466/x
3. Step 3: Cross multiply
   525,642x = 823,466 × 823,466
4. Step 4: Simplify right side
   525,642x = 678,096,253,156
5. Step 5: Solve for x
   x = 678,096,253,156/525,642
6. Step 6: Final answer
   x = 1,290,034.38