Finding the Third Proportional to 525,644 and 823,632

Step by Step Solution

1. Step 1: Write the proportion equation
   525,644 : 823,632 = 823,632 : x
2. Step 2: Convert to fraction form
   525,644/823,632 = 823,632/x
3. Step 3: Cross multiply
   525,644x = 823,632 × 823,632
4. Step 4: Simplify right side
   525,644x = 678,369,671,424
5. Step 5: Solve for x
   x = 678,369,671,424/525,644
6. Step 6: Final answer
   x = 1,290,549.63