Finding the Third Proportional to 409,564.50 and 641,099.25

Step by Step Solution

1. Step 1: Write the proportion equation
   409,564.50 : 641,099.25 = 641,099.25 : x
2. Step 2: Convert to fraction form
   409,564.50/641,099.25 = 641,099.25/x
3. Step 3: Cross multiply
   409,564.50x = 641,099.25 × 641,099.25
4. Step 4: Simplify right side
   409,564.50x = 411,008,248,350.56
5. Step 5: Solve for x
   x = 411,008,248,350.56/409,564.50
6. Step 6: Final answer
   x = 1,003,525.08