Finding the Third Proportional to 410,977.50 and 644,865

Step by Step Solution

1. Step 1: Write the proportion equation
   410,977.50 : 644,865 = 644,865 : x
2. Step 2: Convert to fraction form
   410,977.50/644,865 = 644,865/x
3. Step 3: Cross multiply
   410,977.50x = 644,865 × 644,865
4. Step 4: Simplify right side
   410,977.50x = 415,850,868,225
5. Step 5: Solve for x
   x = 415,850,868,225/410,977.50
6. Step 6: Final answer
   x = 1,011,857.99