Finding the Third Proportional to 708,454.50 and 823,614

Step by Step Solution

1. Step 1: Write the proportion equation
   708,454.50 : 823,614 = 823,614 : x
2. Step 2: Convert to fraction form
   708,454.50/823,614 = 823,614/x
3. Step 3: Cross multiply
   708,454.50x = 823,614 × 823,614
4. Step 4: Simplify right side
   708,454.50x = 678,340,020,996
5. Step 5: Solve for x
   x = 678,340,020,996/708,454.50
6. Step 6: Final answer
   x = 957,492.71