Finding the Third Proportional to 405,830.50 and 642,588

Step by Step Solution

1. Step 1: Write the proportion equation
   405,830.50 : 642,588 = 642,588 : x
2. Step 2: Convert to fraction form
   405,830.50/642,588 = 642,588/x
3. Step 3: Cross multiply
   405,830.50x = 642,588 × 642,588
4. Step 4: Simplify right side
   405,830.50x = 412,919,337,744
5. Step 5: Solve for x
   x = 412,919,337,744/405,830.50
6. Step 6: Final answer
   x = 1,017,467.48