Finding the Third Proportional to 525,684.50 and 823,566

Step by Step Solution

1. Step 1: Write the proportion equation
   525,684.50 : 823,566 = 823,566 : x
2. Step 2: Convert to fraction form
   525,684.50/823,566 = 823,566/x
3. Step 3: Cross multiply
   525,684.50x = 823,566 × 823,566
4. Step 4: Simplify right side
   525,684.50x = 678,260,956,356
5. Step 5: Solve for x
   x = 678,260,956,356/525,684.50
6. Step 6: Final answer
   x = 1,290,243.40