Finding the Third Proportional to 525,634.50 and 823,455

Step by Step Solution

1. Step 1: Write the proportion equation
   525,634.50 : 823,455 = 823,455 : x
2. Step 2: Convert to fraction form
   525,634.50/823,455 = 823,455/x
3. Step 3: Cross multiply
   525,634.50x = 823,455 × 823,455
4. Step 4: Simplify right side
   525,634.50x = 678,078,137,025
5. Step 5: Solve for x
   x = 678,078,137,025/525,634.50
6. Step 6: Final answer
   x = 1,290,018.32