Finding the Third Proportional to 408,676.50 and 561,000

Step by Step Solution

1. Step 1: Write the proportion equation
   408,676.50 : 561,000 = 561,000 : x
2. Step 2: Convert to fraction form
   408,676.50/561,000 = 561,000/x
3. Step 3: Cross multiply
   408,676.50x = 561,000 × 561,000
4. Step 4: Simplify right side
   408,676.50x = 314,721,000,000
5. Step 5: Solve for x
   x = 314,721,000,000/408,676.50
6. Step 6: Final answer
   x = 770,098.11