Finding the Third Proportional to 413,849 and 632,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,849 : 632,806.50 = 632,806.50 : x
2. Step 2: Convert to fraction form
   413,849/632,806.50 = 632,806.50/x
3. Step 3: Cross multiply
   413,849x = 632,806.50 × 632,806.50
4. Step 4: Simplify right side
   413,849x = 400,444,066,442.25
5. Step 5: Solve for x
   x = 400,444,066,442.25/413,849
6. Step 6: Final answer
   x = 967,609.12