Finding the Third Proportional to 365,769 and 485,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,769 : 485,329.50 = 485,329.50 : x
2. Step 2: Convert to fraction form
   365,769/485,329.50 = 485,329.50/x
3. Step 3: Cross multiply
   365,769x = 485,329.50 × 485,329.50
4. Step 4: Simplify right side
   365,769x = 235,544,723,570.25
5. Step 5: Solve for x
   x = 235,544,723,570.25/365,769
6. Step 6: Final answer
   x = 643,971.26