Finding the Third Proportional to 409,583 and 641,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,583 : 641,105.50 = 641,105.50 : x
2. Step 2: Convert to fraction form
   409,583/641,105.50 = 641,105.50/x
3. Step 3: Cross multiply
   409,583x = 641,105.50 × 641,105.50
4. Step 4: Simplify right side
   409,583x = 411,016,262,130.25
5. Step 5: Solve for x
   x = 411,016,262,130.25/409,583
6. Step 6: Final answer
   x = 1,003,499.32