Finding the Third Proportional to 409,590 and 641,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,590 : 641,137.50 = 641,137.50 : x
2. Step 2: Convert to fraction form
   409,590/641,137.50 = 641,137.50/x
3. Step 3: Cross multiply
   409,590x = 641,137.50 × 641,137.50
4. Step 4: Simplify right side
   409,590x = 411,057,293,906.25
5. Step 5: Solve for x
   x = 411,057,293,906.25/409,590
6. Step 6: Final answer
   x = 1,003,582.35