Finding the Third Proportional to 405,636.75 and 587,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   405,636.75 : 587,524.50 = 587,524.50 : x
2. Step 2: Convert to fraction form
   405,636.75/587,524.50 = 587,524.50/x
3. Step 3: Cross multiply
   405,636.75x = 587,524.50 × 587,524.50
4. Step 4: Simplify right side
   405,636.75x = 345,185,038,100.25
5. Step 5: Solve for x
   x = 345,185,038,100.25/405,636.75
6. Step 6: Final answer
   x = 850,970.82