Finding the Third Proportional to 525,690.50 and 823,576

Step by Step Solution

1. Step 1: Write the proportion equation
   525,690.50 : 823,576 = 823,576 : x
2. Step 2: Convert to fraction form
   525,690.50/823,576 = 823,576/x
3. Step 3: Cross multiply
   525,690.50x = 823,576 × 823,576
4. Step 4: Simplify right side
   525,690.50x = 678,277,427,776
5. Step 5: Solve for x
   x = 678,277,427,776/525,690.50
6. Step 6: Final answer
   x = 1,290,260.01